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<Text-field style="Text" opaque="true" background="[0,255,255]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font opaque="false" background="[0,0,0]">Calcular </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/D/derivative.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">derivadas</Font></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8"> usando a defini\303\247\303\243o depende da habilidade para </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/E/evaluate.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">avaliar</Font></Hyperlink><Font opaque="false" background="[0,0,0]"> o </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/L/limit.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">limite</Font></Hyperlink><Font opaque="false" background="[0,0,0]"> do </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/D/differencequotient.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">quociente das diferen\303\247as</Font></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8">. Isto \303\251 tedioso e demorado. E pior, os limites podem ser extremamente dif\303\255ceis de serem avaliados</Font><Hyperlink linktarget="Dictionary:Definition,evaluate" hyperlink="true"></Hyperlink><Font opaque="false" background="[0,0,0]">. As regras de </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/D/differentiation.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">difrerencia\303\247\303\243o</Font></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8"> s\303\243o uma cole\303\247\303\243o de regras gerais para calcular derivadas formadas de polin\303\264mios, pot\303\252ncias, raizes, fun\303\247\303\265es multiplicadas por </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/C/constant.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">constantes</Font></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8">, somas, diferen\303\247as, produtos, </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/Q/Q_Traduzido/quotient.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">quocientes</Font></Hyperlink><Font opaque="false" background="[0,0,0]"> desses tipos de </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/F/function -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">fun\303\247\303\265es</Font></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8">. Composi\303\247\303\265es de </Font><Hyperlink linktarget="Dictionary:Definition,function" hyperlink="true"></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8"> fun\303\247\303\265es s\303\243o manipuladas separadamente no pr\303\263ximo cap\303\255tulo, na </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/C/chainrule.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">regra da cadeia</Font></Hyperlink><Font opaque="false" background="[0,0,0]">.</Font></Text-field>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Tenha cuidado para n\303\243o confundir regras de limites com regras de deriva\303\247\303\243o. Enquanto muitas s\303\243o an\303\241logas, outras s\303\243o completamente diferentes.</Font></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false">O maplet <Hyperlink linktarget="Maplet:../Maplets/Differentiation.maplet" hyperlink="true"><Font style="Hyperlink">Differentiation</Font></Hyperlink><Font encoding="UTF-8"> \303\251 uma ferramenta excelente para aprender os nomes e fun\303\247\303\265es das regras de deriva\303\247\303\243o e ensinar como elas podem ser aplicadas para avaliar uma derivada. Os tr\303\252s exemplos apresentados nesta </Font><Font background="[255,255,255]">planilha </Font><Font encoding="UTF-8"> introduzir\303\243o no uso dessa ferramenta.  </Font></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font encoding="UTF-8"> \303\251 um inteiro positivo </Font></Text-field></Table-Cell></Table-Row><Table-Row align="baseline" separator="false"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">Multiplicada por Constante</Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field style="Text" layout="Normal">Soma</Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Diferen\303\247a</Font></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field style="Text" layout="Normal">Produto</Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field style="Text" layout="Normal">Quociente</Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field style="Text" layout="Normal"><Font bold="true">Tabela 11.1</Font>   </Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Regras de Deriva\303\247\303\243o: os operadores </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYsNiVRImRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiw2JVEjZHhGJ0Y1RjgvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRkMvJSliZXZlbGxlZEdRJmZhbHNlRidGKy9GOVEnbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYsNiVRImRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiw2JVEjZHhGJ0Y1RjgvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRkMvJSliZXZlbGxlZEdRJmZhbHNlRidGKy9GOVEnbm9ybWFsRic=</Equation> e linha <Font encoding="UTF-8">(') s\303\243o usados, </Font><Font background="[255,255,255]">tanto um quanto o outro</Font>, <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>  representa uma constante, e <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> e <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font encoding="UTF-8"> s\303\243o fun\303\247\303\265es diferenci\303\241veis em </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Observe as condi\303\247\303\265es listadas na terceira coluna. Se as condi\303\247\303\265es para uma regra n\303\243o forem satisfeitas, a regra n\303\243o pode ser usada para avaliar a derivada</Font>.</Text-field>
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<Text-field style="Normal" layout="Normal"><Font encoding="UTF-8">A regra Multiplicada por Constante simplesmente diz que, ao derivar um produto de uma fun\303\247\303\243o vezes uma constante, computa-se a derivada da fun\303\247\303\243o e multiplica-se pela constante.</Font></Text-field>
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<Text-field style="Normal" layout="Normal"><Font encoding="UTF-8">As regras de Soma e Diferen\303\247a  simplesmente dizem que a derivada de uma soma ou diferen\303\247a \303\251 a soma ou diferen\303\247a das derivadas.</Font></Text-field>
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<Text-field style="Normal" layout="Normal">A regra do Produto pode ser melhor entendida como &quot;o primeiro pela derivada do segundo mais o segundo pela derivada do primeiro.&quot;</Text-field>
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<Text-field style="Normal" layout="Normal"><Font encoding="UTF-8">Na realidade, o padr\303\243o a ser seguido \303\251 melhor entendido se a derivada de um produto de tr\303\252s fatores for escrita.  Para isto temos:</Font></Text-field>
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<Text-field style="Normal" layout="Normal"><Font background="[255,255,255]" encoding="UTF-8">O produto de tr\303\252s fatores \303\251 escrito tr\303\252s vezes, em cada um destes tr\303\252s termos, somente uma das fun\303\247\303\265es \303\251 derivada, e os termos s\303\243o somados. Com este padr\303\243o em mente, a Regra do Produto \303\251 vista como obedecendo exatamente a este esquema, mas a vocaliza\303\247\303\243o em termos de &quot;primeiro&quot; e &quot;segundo&quot; faz a articula\303\247\303\243o e aplica\303\247\303\243o da regra muito mais simples.</Font></Text-field>
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<Text-field style="Normal" layout="Normal"><Font encoding="UTF-8">Finalmente, o quociente pode ser colocado como &quot;denominador vezes a derivada do numerador, menos numerador vezes a derivada do denominador, tudo isto sobre o denominador ao quadrado.&quot;  (Com esta vers\303\243o da regra, as letras DN lideram a vocaliza\303\247\303\243o.  Relembrando que  D representa denominador e que DNA \303\251 a chave da vida biol\303\263gica, nenhum estudante deveria jamais trocar os pap\303\251is de numerador e denominador na regra do Quociente.)</Font></Text-field>
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<Text-field style="Normal" layout="Normal"><Font background="[255,255,255]" encoding="UTF-8">Em algumas classes, estudantes aprendem a regra do Quociente com &quot;de cima&quot; e &quot;de baixo&quot;, recolocando &quot;numerador&quot; e &quot;denominador,&quot; respectivamente. Em qualquer caso, articulando um padr\303\243o em linguagem, \303\251 muito mais f\303\241cil que tentar memorizar isto como uma sequ\303\252ncia de s\303\255mbolos.</Font></Text-field>
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<Text-field style="Heading 1" layout="Heading 1">Provas</Text-field></Title>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">\303\211 muito dif\303\255cil dar uma </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/P/proof.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">prova</Font></Hyperlink><Font encoding="UTF-8"> de regras de deriva\303\247\303\243o usando Maple. Em alguns casos \303\251 poss\303\255vel dar um argumento geom\303\251trico usando um construtor de gr\303\241fico do Maple, em outros casos,  o Maple pode ser usado para identificar o quociente da diferen\303\247a como derivadas. Por\303\251m, deve-se ter muito cuidado se para distinguir entre uma prova e um argumento baseado em &quot;porque o Maple disse assim.&quot;</Font></Text-field>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Prova de Regra da Constante </Text-field></Title>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Prova da Regra de Pot\303\252ncia (</Font><Font italic="true">n</Font> inteiro positivo)</Text-field></Title>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Vimos tamb\303\251m que (Exemplo 10.1, Cap\303\255tulo 10) que </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font encoding="UTF-8">, que \303\251 a Regra da Pot\303\252ncia \303\251 mantida para</Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JS1JI21vR0YkNi1RIj1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS1JI21uR0YkNiRRIjNGJ0Y1RjVGK0Y1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JS1JI21vR0YkNi1RIj1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS1JI21uR0YkNiRRIjNGJ0Y1RjVGK0Y1</Equation> .</Text-field>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">A prova da Regra de Pot\303\252ncia quando </Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font encoding="UTF-8">  \303\251 um inteiro </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/P/positive.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">positivo</Font></Hyperlink><Font encoding="UTF-8"> \303\251 baseada no padr\303\243o observado em:</Font></Text-field>
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<Output>
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<Output>
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<Output>
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<Output>
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<Text-field style="Text" opaque="true" background="[0,255,255]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font opaque="false" background="[0,0,0]">Em particular, note que </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font opaque="false" background="[0,0,0]"> . (Dizemos que </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font opaque="false" background="[0,0,0]">  quando </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KkYrLUknbXVuZGVyR0YkNiUtSSNtb0dGJDYtUSRsaW1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR1EldHJ1ZUYnLyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTY2NjY2N2VtRictRiM2Ji1GLDYlUSJoRicvJSdpdGFsaWNHRkgvRjlRJ2l0YWxpY0YnLUY1Ni1RJyZyYXJyO0YnRjhGO0Y+RkBGQkZEL0ZHRj1GSUZLL0ZPRk0tSSNtbkdGJDYkUSIwRidGOEY4LyUsYWNjZW50dW5kZXJHRj1GKy1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC40ZW1GJy8lJmRlcHRoR0Zkby8lKmxpbmVicmVha0dRJWF1dG9GJ0YrLUYjNiYtRjU2LVEiKEYnRjgvRjxGSEY+L0ZBRkhGQkZERmduRkkvRkxGUEZOLUkmbWZyYWNHRiQ2KC1GIzYkLUYsNiVRImdGJ0ZWRlhGOC1GIzYmRistSSVtc3VwR0YkNiVGUy1GLDYlUSJwRidGVkZYLyUxc3VwZXJzY3JpcHRzaGlmdEdGXG9GK0Y4LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zcci8lKWJldmVsbGVkR0Y9LUY1Ni1RIilGJ0Y4RmJwRj5GY3BGQkZERmduRklGZHAvRk9RLDAuMTExMTExMWVtRidGOEYrRjhGK0Y4">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</Equation><Font opaque="false" background="[0,0,0]">  existe; 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A partir disso, n\303\243o \303\251 dif\303\255cil obter: </Font></Text-field>
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<Text-field style="Text" opaque="true" background="[0,255,255]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font opaque="false" background="[0,0,0]" encoding="UTF-8">A Regra de Pot\303\252ncia n\303\243o \303\251 v\303\241lida quando o </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/E/exponent.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">expoente</Font></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8"> \303\251 zero, um inteiro </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/N/negative -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">negativo</Font></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8"> , um n\303\272mero </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/R/rationalfunction.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">racional</Font></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8">, ou um n\303\272mero irracional. O caso para </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJuRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJuRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=</Equation><Font opaque="false" background="[0,0,0]" encoding="UTF-8">  \303\251 a Regra da Constante. As provas dos casos restantes dependem dos  resultados que vir\303\243o mais tarde no curso. A  primeira delas, inteiros negativos, \303\251 o Exemplo 11.4.</Font></Text-field>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Prova da Regra Multiplicada por Constante </Text-field></Title>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Prova da Regra da Soma  </Text-field></Title>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false">A Regra da Soma faz sentido intuitivamente. A <Hyperlink linktarget="Wks:../Dicion\303\241rio/R/rateofchange.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">taxa de varia\303\247\303\243o</Font></Hyperlink><Font encoding="UTF-8"> da soma de duas fun\303\247\303\265es deve ser a soma da taxa de varia\303\247\303\243o delas (de cada uma delas), como em:</Font></Text-field>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Prova da Regra da Diferen\303\247a </Font></Text-field></Title>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[0,0,0]" readonly="false" foreground="[0,0,0]"> </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZJLUYjNitGKy1GIzYoRistRiM2Ji1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvRjZRJ2l0YWxpY0YnLUYyNi1RIn5GJ0Y1RjhGO0Y9Rj9GQUZDRkUvRkhRJjAuMGVtRicvRktGaG4tSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGVUZYRjVGNUY1LUYyNi1RMSZJbnZpc2libGVUaW1lcztGJ0Y1RjhGO0Y9Rj9GQUZDRkVGZ25GaW4tRiM2JkYrLUYjNiZGKy1GIzYoLUYsNiVRImdGJ0ZVRlgtRjI2LVEiJ0YnRjVGOEY7Rj1GP0ZBRkNGRUZnbkZpbi1GMjYtUTAmQXBwbHlGdW5jdGlvbjtGJ0Y1RjhGO0Y9Rj9GQUZDRkVGZ25GaW4tRiM2JC1GW282JC1GIzYmRitGXW9GK0Y1RjVGNUYrRjVGK0Y1RitGNUYrRjUtRjI2LVEiK0YnRjVGOEY7Rj1GP0ZBRkNGRS9GSFEsMC4yMjIyMjIyZW1GJy9GS0ZecUZiby1GIzYmRltwRmFwRmpuRjVGKy1GIzYnRistRiM2JkYrLUYjNihGK0YrRmJvLUYjNidGUkZhcC1GIzYmRmJvRl5wRmZwRjVGK0Y1RitGNUYrRjVGK0YrRjVGK0Y1RitGNUYrRjU=">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</Equation><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[0,0,0]" readonly="false" foreground="[0,0,0]">                                                                     </Font></Text-field>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false">Note que <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> porque a <Hyperlink linktarget="Wks:../Dicion\303\241rio/A/assumption.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">suposi\303\247\303\243o</Font></Hyperlink> de que <Font italic="true">f</Font><Font encoding="UTF-8"> \303\251 diferenci\303\241vel em </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>, implica que <Font italic="true">f</Font><Font encoding="UTF-8"> \303\251 </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/C/continuous.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">cont\303\255nua</Font></Hyperlink> em <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>.</Text-field>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Prova da Regra do Quociente </Text-field></Title>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false">A prova da <Hyperlink linktarget="Wks:../Dicion\303\241rio/Q/Q_Traduzido/quotientrule.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">Regra do Quociente</Font></Hyperlink><Font encoding="UTF-8"> \303\251 similar \303\240 prova da Regra do Produto no que envolve a adi\303\247\303\243o e a subtra\303\247\303\243o da mesma quantidade do quociente da diferen\303\247a. Esta quantidade \303\251 escolhida de modo que os quocientes das diferen\303\247as de</Font> <Font italic="true">f</Font> e <Font italic="true">g</Font><Font encoding="UTF-8"> possam ser identificados. Aplica\303\247\303\243o da defini\303\247\303\243o da derivada do quociente leva a:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field style="Text" layout="Normal"></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell></Table-Row><Table-Row align="baseline" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUYjNiotSSNtaUdGJDYjUSFGJy1JJ211bmRlckdGJDYlLUYsNi1RJGxpbUYnRi9GMkY1RjdGOUY7L0Y+USV0cnVlRidGPy9GQlEmMC4wZW1GJy9GRVEsMC4xNjY2NjY3ZW1GJy1GIzYmLUZJNiVRImhGJy8lJ2l0YWxpY0dGUy9GMFEnaXRhbGljRictRiw2LVEnJnJhcnI7RidGL0YyRjVGN0Y5RjtGPUY/RlQvRkVGVS1JI21uR0YkNiRRIjBGJ0YvRi8vJSxhY2NlbnR1bmRlckdGNEZILUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjRlbUYnLyUmZGVwdGhHRmpvLyUqbGluZWJyZWFrR1ElYXV0b0YnRkgtRiM2JkZILUkmbWZyYWNHRiQ2KC1GIzYmRkgtRiM2LEZILUYjNihGSC1GIzYnLUZJNiVRImZGJ0ZnbkZpbi1GLDYtUTAmQXBwbHlGdW5jdGlvbjtGJ0YvRjJGNUY3RjlGO0Y9Rj9GVEZeby1GIzYmLUYsNi1RIihGJ0YvL0YzRlNGNS9GOEZTRjlGO0Y9Rj8vRkJGV0ZWLUYjNiZGSC1GIzYmLUZJNiVRInhGJ0ZnbkZpbi1GLDYtUSIrRidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjIyMjIyMjJlbUYnL0ZFRmlyRlpGL0ZIRi8tRiw2LVEiKUYnRi9GW3JGNUZcckY5RjtGPUY/Rl1yL0ZFUSwwLjExMTExMTFlbUYnRi9GSEYvLUYsNi1RMSZJbnZpc2libGVUaW1lcztGJ0YvRjJGNUY3RjlGO0Y9Rj9GVEZeby1GIzYnLUZJNiVRImdGJ0ZnbkZpbkZjcS1GIzYmRmhxLUYjNiRGYnJGL0Zbc0YvRkhGL0ZIRi8tRiw2LVEoJm1pbnVzO0YnRi9GMkY1RjdGOUY7Rj1GP0ZockZqci1GIzYoRkgtRiM2J0ZgcUZjcUZoc0ZIRi9GYHNGY3NGSEYvRmVyRl90Rlx0LUYjNihGSEZhdEZgcy1GIzYnRmVzRmNxRmZxRkhGL0ZIRi9GSEYvRkhGLy1GIzYmRkgtRiM2KUZaRmBzRmNzRmBzRmV0RkhGL0ZIRi8vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmB1LyUpYmV2ZWxsZWRHRjRGSEYvRkhGL0ZIRi8=</Equation></Text-field></Table-Cell></Table-Row><Table-Row align="baseline" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>  </Text-field></Table-Cell></Table-Row><Table-Row align="baseline" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" 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 <Equation executable="false" style="2D Math" input-equation="" 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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" 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<Text-field style="Text" layout="Normal"></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Tr\303\252s Exemplos</Font></Text-field></Title>
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<Text-field style="Text" opaque="true" background="[0,255,255]" layout="Normal"><Font opaque="false" background="[0,0,0]">Tabela 11.2 resume os passos que devem ser usados para avaliar a derivada de </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" encoding="UTF-8">Manipula\303\247\303\243o Alg\303\251brica</Font></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Remarks</Font></Text-field></Table-Cell></Table-Row><Table-Row align="baseline" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">derivada original </Text-field></Table-Cell></Table-Row><Table-Row align="baseline" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Regras de Soma e Diferen\303\247a </Font></Text-field></Table-Cell></Table-Row><Table-Row align="baseline" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">Regra da Constante aplicada </Text-field></Table-Cell></Table-Row><Table-Row align="baseline" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">Regra Multiplicada por Constante aplicada </Text-field></Table-Cell></Table-Row><Table-Row align="baseline" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Regras da Identidade e de Pot\303\252ncia aplicadas </Font></Text-field></Table-Cell></Table-Row><Table-Row align="baseline" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Aritm\303\251tica \342\207\222 Resposta final </Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Tabela 11.2</Font><Font encoding="UTF-8">   Deriva\303\247\303\243o de </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell></Table-Row></Table>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false">Assim, obtemos o resultado:</Text-field>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[0,0,0]" readonly="false" foreground="[0,0,0]"> </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[0,0,0]" readonly="false" foreground="[0,0,0]"> </Font></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
<Text-field style="Text" opaque="true" background="[0,255,255]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font opaque="false" background="[0,0,0]">como pode ser verificado usando os comandos </Font><Hyperlink linktarget="Help:diff" hyperlink="true"><Font style="Hyperlink" family="Times New Roman">diff</Font></Hyperlink><Font opaque="false" background="[0,0,0]"> (ou </Font><Hyperlink linktarget="Help:Diff" hyperlink="true"><Font style="Hyperlink" family="Times New Roman">Diff</Font></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8">) do Maple, implementado do teclado ou de um menu de contexto sens\303\255vel. Um enunciado matem\303\241tico completo \303\251 formado no Maple via:</Font></Text-field>
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<Text-field style="Text" opaque="true" background="[51,255,255]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font opaque="false" background="[0,0,0]" encoding="UTF-8">\303\211 aconselh\303\241vel repetir o exemplo no maplet </Font><Hyperlink linktarget="Maplet:../Maplets/Differentiation.maplet" hyperlink="true"><Font style="Hyperlink">Differentiation</Font></Hyperlink><Font opaque="false" background="[0,0,0]">, equivalente a construir no <Font bold="true" encoding="UTF-8">Tutor M\303\251todos de Diferencia\303\247\303\243o</Font> <Font encoding="UTF-8">dispon\303\255vel no menu  Ferramentas/Tutoriais/C\303\241lculo-Uma Vari\303\241vel. A op\303\247\303\243o <Font bold="true">M\303\251todos de Diferencia\303\247\303\243o </Font>nesse menu pode ser iniciado para a fun\303\247\303\243o do Exemplo 11.1 pela sintaxe</Font></Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Figura 11.2</Font><Font encoding="UTF-8">   Tutor M\303\251todos de Diferencia\303\247\303\243o aplicado a </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell></Table-Row></Table>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Exemplo 11.2: Use as Regras de Deriva\303\247\303\243o para</Font> avaliar<Equation executable="false" style="2D Math_12" input-equation="" display="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">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</Equation>            </Text-field></Title>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Exemplo 11.3: <Font encoding="UTF-8">Use as Regras de Deriva\303\247\303\243o para avaliar</Font><Hyperlink linktarget="Dictionary:Definition,evaluate" hyperlink="true"><Font style="Heading 2"> </Font></Hyperlink> <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Title>
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<Text-field style="Text" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> </Text-field>
<Text-field style="Text" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false">a Regra do Produto pode ser usada<Font encoding="UTF-8">. (Note que o Tutor M\303\251todos de Diferencia\303\247\303\243o n\303\243o acredita que a regra do Produto possa ser aplicada aqui</Font>. A dica sugere que a <Font italic="true">Regra da Cadeia</Font> <Hyperlink linktarget="Dictionary:Definition,chainrule" hyperlink="true"></Hyperlink><Font encoding="UTF-8">deve ser aplicada. Como n\303\243o conhecemos ainda a Regra da Cadeia, vamos seguir este exemplo sem o uso do  maplet.) Aplica\303\247\303\243o da regra do produto deste modo leva a:</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="right"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrRistSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y6LyUpc3RyZXRjaHlHRjovJSpzeW1tZXRyaWNHRjovJShsYXJnZW9wR0Y6LyUubW92YWJsZWxpbWl0c0dGOi8lJ2FjY2VudEdGOi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkktRiM2KEYrLUkmbWZyYWNHRiQ2KC1GLDYlUSJkRicvJSdpdGFsaWNHUSV0cnVlRicvRjZRJ2l0YWxpY0YnLUYsNiVRI2R4RidGVEZXLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zbby8lKWJldmVsbGVkR0Y6LUYyNi1RMSZJbnZpc2libGVUaW1lcztGJ0Y1RjhGO0Y9Rj9GQUZDRkUvRkhRJjAuMGVtRicvRktGZG8tRiM2Ji1GMjYtUSIoRidGNS9GOUZWRjsvRj5GVkY/RkFGQ0ZFL0ZIUSwwLjE2NjY2NjdlbUYnL0ZLRl5wLUYjNihGKy1GIzYmRmhvLUYjNilGKy1GIzYmRistSSVtc3VwR0YkNiUtRiw2JVEieEYnRlRGVy1JI21uR0YkNiRRIjRGJ0Y1LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrRjUtRjI2LVEiK0YnRjVGOEY7Rj1GP0ZBRkNGRS9GSFEsMC4yMjIyMjIyZW1GJy9GS0ZpcS1GIzYnLUZfcTYkUSIzRidGNUZgby1GIzYmRistRmlwNiVGW3EtRl9xNiRRIjJGJ0Y1RmJxRitGNUYrRjVGZXEtRl9xNiRGaG5GNUY1LUYyNi1RIilGJ0Y1RltwRjtGXHBGP0ZBRkNGRUZdcC9GS1EsMC4xMTExMTExZW1GJ0Y1RmBvRmJwRitGNUZpckY1RitGNUYrRjVGK0Y1</Equation> </Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Isto confirma nossas computa\303\247\303\265es  iniciais e verifica que as duas abordagens fornecem o mesmo resultado.</Font></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
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<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
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<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="2"><Font style="Text">Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response.  To include the plot option, insert the corresponding task template.  For information on creating questions, making assignments, and exporting Maple T.A. course modules, see </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
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<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="3"><Font style="Text">Algorithmic variables can be used to create a question that contains randomly generated parameters.  You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions.  To reference an algorithmic variable, include &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="4"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

n1 := Generate(integer(range=2..3)):
r1 := Generate(choose([-10..-1,1..10])):
fn2 := sort(Generate(polynom(integer(range=r1),x,degree=n1))):
n2 := Generate(integer(range=2..3)):
fn3 := sort(Generate(polynom(integer(range=r1),x,degree=n2))):
fn4 := fn2*fn3;
ans1 := simplify(diff(fn4,x));
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</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCwqJEkieEc2IiIiJSIjZyokRiQiIiQiJC8jKiRGJCIiIyIkQyRGJCIkMyQiJF0iIiIi</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L180" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 11.1</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="5"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L172">
<Input>
<Text-field style="Text" layout="Normal">Usando a regra apropriada de derivadas, encontrar a derivada de :</Text-field>
<Text-field style="Text" layout="Normal">
<Font italic="true">f(x)</Font> = <Font bold="true" style="Text" foreground="[0,128,128]">`$fn4`</Font>
</Text-field>
</Input>
</Group><EC-TextArea id="TextArea1" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label1" caption="Insira sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="6"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L171">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="7"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Taskdata-inline>ans1;</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="8"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L168">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(`$ANSWER`-`$RESPONSE`=0);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="9"><Font style="Text">A question can offer hints to students when requested.  Hints can contain text, 2-D Math, and algorithmic variables.  Adding hints to the question is optional.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="10"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L17" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Use the Product Rule.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="11"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="12"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 2.</Font></Taskdata-inline></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="13"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="14"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button4" caption="Dica #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea1`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Use&amp;MediumSpace;the&amp;MediumSpace;Product&amp;MediumSpace;Rule.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button5" caption="Hint #2" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button><EC-Button id="Button6" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="15"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L170" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="16"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="17"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button7" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea1`, `value`);   ANSWER :=  ans1;  if evalb(ANSWER-eval(parse(StudentResponse))=0) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;60&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;204&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;324&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;308&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;150&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;60&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;204&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;324&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;308&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;150&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
<Group labelreference="L179">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="18"><Font style="Text">Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response.  To include the plot option, insert the corresponding task template.  For information on creating questions, making assignments, and exporting Maple T.A. course modules, see </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="19"><Font style="Text">Algorithmic variables can be used to create a question that contains randomly generated parameters.  You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions.  To reference an algorithmic variable, include &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="20"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
<Group autoexecute="true" labelreference="L175" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

n3 := Generate(integer(range=2..3)):
r2 := Generate(choose([-10..-1,1..10])):
fn5 := sort(Generate(polynom(integer(range=r2),x,degree=n3))):
n4 := Generate(integer(range=2..3)):
fn6 := sort(Generate(polynom(integer(range=r2),x,degree=n4))):
fn7 := fn5/fn6;
ans2 := simplify(diff(fn7,x));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">KiYsKCokSSJ4RzYiIiIjIiIlRiUiIioiIzUiIiJGKywqKiRGJSIiJEYuRiQiIidGJUYvRipGKyEiIg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJiwsKiRJInhHNiIiIiUiIicqJEYmIiIkIiNGKiRGJiIiIyIjZ0YmIiM/ISM6IiIiRjIsKkYqRitGLUYpRiZGKSIjNUYyISIjRjU=</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L183" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 11.2</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="21"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L178">
<Input>
<Text-field style="Text" layout="Normal">Usando a regra apropriada de derivadas, encontrar a derivada de :</Text-field>
<Text-field style="Text" layout="Normal">
<Font italic="true">f (x)</Font> = <Font bold="true" style="Text" foreground="[0,128,128]">`$fn7`</Font>
</Text-field>
</Input>
</Group><EC-TextArea id="TextArea2" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label2" caption="Insira sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="22"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L177">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="23"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Taskdata-inline>ans2;</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="24"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L174">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(simplify(`$ANSWER`-`$RESPONSE`)=0);</Text-field>
</Input>
</Group>
<Group labelreference="L184" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="25"><Font style="Text">A question can offer hints to students when requested.  Hints can contain text, 2-D Math, and algorithmic variables.  Adding hints to the question is optional.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="26"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L24" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Use the Quotient Rule.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="27"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="28"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 2.</Font></Taskdata-inline></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="29"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="30"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button8" caption="Dica #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea2`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Use&amp;MediumSpace;the&amp;MediumSpace;Quotient&amp;MediumSpace;Rule.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button9" caption="Hint #2" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button><EC-Button id="Button10" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="31"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L176" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="32"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="33"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button11" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea2`, `value`);   ANSWER :=  ans2;  if evalb(simplify(ANSWER-eval(parse(StudentResponse)))=0) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;27&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;60&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;20&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;15&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;27&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;60&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;20&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;15&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
<Group labelreference="L152">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="34"><Font style="Text">Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response.  To include the plot option, insert the corresponding task template.  For information on creating questions, making assignments, and exporting Maple T.A. course modules, see </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="35"><Font style="Text">Algorithmic variables can be used to create a question that contains randomly generated parameters.  You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions.  To reference an algorithmic variable, include &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="36"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
<Group autoexecute="true" labelreference="L148" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

nn1 := Generate(integer(range=1..5)):
nn2 := Generate(integer(range=1..5)):
fn[1] := sort(Generate(polynom(integer(range=-20..20),x,degree=nn1)),x):
hn[1] := `Sum, Difference, Identity, Power, Constant Multiple`:
fn[2] := sort(Generate(polynom(integer(range=-20..20),x,degree=nn2)),x):
hn[2] := `Sum, Difference, Identity, Power, Constant Multiple`:
fn[3] := fn[1]*fn[2]:
hn[3] := `Sum, Difference, Identity, Power, Constant Multiple, Product`:
fn[4] := fn[1]/fn[2]:
hn[4] := `Sum, Difference, Identity, Power, Constant Multiple, Quotient`:
fn[5] := fn[2]/fn[1]:
hn[5] := `Sum, Difference, Identity, Power, Constant Multiple, Quotient`:
nn := Generate(choose([1,2,3,4,5])):
fn1 := fn[nn];
hn1 := hn[nn];<Font style="Maple Input Placeholder" placeholder="true">
</Font></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">KiYsJkkieEc2IiEiJCEjNyIiIkYoLCwqJEYkIiIlISIoKiRGJCIiJCEiIyokRiQiIiNGKEYkISImISM6RighIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">SWhuU3VtLH5EaWZmZXJlbmNlLH5JZGVudGl0eSx+UG93ZXIsfkNvbnN0YW50fk11bHRpcGxlLH5RdW90aWVudEc2Ig==</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L153" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 11.3</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="37"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L151">
<Input>
<Text-field style="Text" layout="Normal">Usando a regra apropriada de derivadas, encontrar a derivada de</Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">f(x)</Font> = <Font bold="true" style="Text" foreground="[0,128,128]">`$fn1`</Font>
</Text-field>
</Input>
</Group><EC-TextArea id="TextArea0" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label0" caption="Insira sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="38"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L150">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">simplify(diff(fn1,x));</Text-field>
</Input>
</Group>
<Group labelreference="L154" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="39"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L147">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(`$ANSWER`-`$RESPONSE`=0);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="40"><Font style="Text">A question can offer hints to students when requested.  Hints can contain text, 2-D Math, and algorithmic variables.  Adding hints to the question is optional.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="41"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L31" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Use the following differentiation rules: </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="true" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,128,128]">`$hn1`</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="42"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="43"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 2.</Font></Taskdata-inline></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="44"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="45"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button0" caption="Hint #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea0`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Use&amp;MediumSpace;the&amp;MediumSpace;following&amp;MediumSpace;differentiation&amp;MediumSpace;rules:&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mrow&gt;&lt;mi&gt;Sum, Difference, Identity, Power, Constant Multiple, Quotient&lt;/mi&gt;&lt;/mrow&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mtext&gt;.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button1" caption="Hint #2" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button><EC-Button id="Button2" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="46"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L149" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="47"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="48"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button3" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea0`, `value`);   ANSWER := simplify(diff(fn1,x));  if evalb(ANSWER-eval(parse(StudentResponse))=0) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;21&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;116&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;23&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;15&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;21&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;116&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;23&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;15&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Estendendo a Regra de Pot\303\252ncia para Expoentes Inteiros Negativos </Font></Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
<Group labelreference="L1899" drawlabel="true">
<Input>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">A Regra do Quociente pode ser aplicada para estender a Regra de Pot\303\252ncia a expoentes inteiros negativos</Font>. </Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false">Seja <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> um inteiro negativo e<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUYjNiYtSSNtaUdGJDYlUSJ1RicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYsNi1RJSZuZTtGJ0YvRjJGNUY3RjlGO0Y9Rj9GQUZELUkjbW5HRiQ2JFEiMEYnRi9GLy1GSTYjUSFGJ0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUYjNiYtSSNtaUdGJDYlUSJ1RicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYsNi1RJSZuZTtGJ0YvRjJGNUY3RjlGO0Y9Rj9GQUZELUkjbW5HRiQ2JFEiMEYnRi9GLy1GSTYjUSFGJ0Yv</Equation><Font encoding="UTF-8">.  A deriva\303\247\303\243o de</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtRiw2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLDYlUSJuRidGNUY4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrL0Y5USdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtRiw2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLDYlUSJuRidGNUY4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrL0Y5USdub3JtYWxGJw==</Equation><Font encoding="UTF-8"> pelas Regras do Quociente e de Pot\303\252ncia segue depois de observar que</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrLUklbXN1cEdGJDYlLUYsNiVRInVGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiw2JVEibkYnRjdGOi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSI9RicvRjtRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZLLyUpc3RyZXRjaHlHRksvJSpzeW1tZXRyaWNHRksvJShsYXJnZW9wR0ZLLyUubW92YWJsZWxpbWl0c0dGSy8lJ2FjY2VudEdGSy8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlotSSZtZnJhY0dGJDYoLUYjNiQtSSNtbkdGJDYkUSIxRidGR0ZHLUYjNiZGKy1GMjYlRjQtRiM2JkYrLUYjNiUtRkQ2LVEqJnVtaW51czA7RidGR0ZJRkxGTkZQRlJGVEZWL0ZZUSYwLjBlbUYnL0ZmbkZccEY9RkdGK0ZHRkBGK0ZHLyUubGluZXRoaWNrbmVzc0dGX28vJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGYnAvJSliZXZlbGxlZEdGS0YrRkdGK0ZH">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</Equation>  e que <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JS1JI21vR0YkNi1RKiZ1bWludXMwO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZJLUYsNiVRIm5GJy8lJ2l0YWxpY0dRJXRydWVGJy9GNlEnaXRhbGljRidGNUYrRjU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JS1JI21vR0YkNi1RKiZ1bWludXMwO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZJLUYsNiVRIm5GJy8lJ2l0YWxpY0dRJXRydWVGJy9GNlEnaXRhbGljRidGNUYrRjU=</Equation><Font encoding="UTF-8">  \303\251 um inteiro positivo</Font>. Tratando a derivada de <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtRiw2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLDYlUSJuRidGNUY4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrL0Y5USdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtRiw2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLDYlUSJuRidGNUY4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrL0Y5USdub3JtYWxGJw==</Equation> como a derivada de um quociente, leva a:</Text-field>
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</Input>
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<Text-field style="Text" layout="Normal" alignment="right"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUYsNi1RMSZJbnZpc2libGVUaW1lcztGJ0YvRjJGNUY3RjlGO0Y9Rj9GQUZELUkmbWZyYWNHRiQ2KC1JI21pR0YkNiVRImRGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRictRk02JVEjZHVGJ0ZQRlMvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmduLyUpYmV2ZWxsZWRHRjRGRi1JKG1mZW5jZWRHRiQ2JC1GIzYmLUZNNiNRIUYnLUZKNigtSSNtbkdGJDYkRlpGLy1GIzYmRmFvLUklbXN1cEdGJDYlLUZNNiVRInVGJ0ZQRlMtRiM2JS1GLDYtUSgmbWludXM7RidGL0YyRjVGN0Y5RjtGPUY/RkFGRC1GTTYlUSJuRidGUEZTRi8vJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRmFvRi9GWEZlbkZobkZqbkZhb0YvRi9GYW9GLw==">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</Equation></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field style="Heading 2" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false">   </Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Portanto, a f\303\263rmula na Regra de Pot\303\252ncia se aplica quando</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> for qualquer inteiro -- positivo, zero, ou negativo.</Text-field>
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<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
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<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="49"><Font style="Text">Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response.  To include the plot option, insert the corresponding task template.  For information on creating questions, making assignments, and exporting Maple T.A. course modules, see </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
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<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="50"><Font style="Text">Algorithmic variables can be used to create a question that contains randomly generated parameters.  You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions.  To reference an algorithmic variable, include &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="51"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

r3 := Generate(choose([-10..-1,1..10])):
n5 := Generate(integer(range=r3)):
n6 := Generate(integer(range=-8..-1)):
fn8 := n5 * x ^ n6;
ans4 := simplify(diff(fn8,x));</Text-field>
</Input>
<Output>
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<Output>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
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</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 11.4</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="52"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
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<Input>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Usando as regras de deriva\303\247\303\243o apropriadas, encontrar a derivada de:</Font>

<Font italic="true">f(x)</Font> = <Font bold="true" style="Text" foreground="[0,128,128]">`$fn8`</Font>
</Text-field>
</Input>
</Group><EC-TextArea id="TextArea3" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label3" caption="Insira sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="53"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L192">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="54"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Taskdata-inline>ans4;</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="55"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L189">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(`$ANSWER`-`$RESPONSE`=0);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="56"><Font style="Text">A question can offer hints to students when requested.  Hints can contain text, 2-D Math, and algorithmic variables.  Adding hints to the question is optional.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="57"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L39" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Use the Power Rule.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="58"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="59"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 2.</Font></Taskdata-inline></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="60"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="61"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button12" caption="Dica #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea3`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Use&amp;MediumSpace;the&amp;MediumSpace;Power&amp;MediumSpace;Rule.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button13" caption="Hint #2" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button><EC-Button id="Button14" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="62"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L191" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="63"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="64"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button15" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea3`, `value`);   ANSWER :=  ans4;  if evalb(ANSWER-eval(parse(StudentResponse))=0) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;49&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;49&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
<Group labelreference="L217">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="65"><Font style="Text">Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response.  To include the plot option, insert the corresponding task template.  For information on creating questions, making assignments, and exporting Maple T.A. course modules, see </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="66"><Font style="Text">Algorithmic variables can be used to create a question that contains randomly generated parameters.  You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions.  To reference an algorithmic variable, include &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="67"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
<Group autoexecute="true" labelreference="L213" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

fn9 := 0:
fn10 := 0:
while (fn9=0) do
   r4 := Generate(choose([-10..-1,1..10])):
   n7 := Generate(integer(range=r4)):
   n8 := Generate(integer(range=-8..-1)):
   r5 := Generate(choose([-10..-1,1..10])):
   n9 := Generate(integer(range=r5)):
   n10 := Generate(integer(range=-8..-1)):
   fn9 :=  n7*x^n8 + n9*x^n10:
end do:

while (fn10=0) do
   r6 := Generate(choose([-10..-1,1..10])):
   n11 := Generate(integer(range=r6)):
   n12 := Generate(integer(range=-8..-1)):
   r7 := Generate(choose([-10..-1,1..10])):
   n13 := Generate(integer(range=r7)):
   n14 := Generate(integer(range=-8..-1)):
   fn10 := n11*x^n12 + n13*x^n14:
end do:

fn11 := Generate(choose([fn9,fn10,fn9*fn10,fn9/fn10,fn10/fn9]));

ans5 := sort(simplify(diff(fn11,x)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJkkieEc2IiEiKCwmKiRGJCEiIiIiJyokRiQhIiQiIiRGKSEjOQ==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqKCwmKiRJInhHNiIiIiMiIiQiIiJGKkYqLCZGJUYoRipGKiEiI0YmISImIyIjY0Yp</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L228" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Question 11.5</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="68"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L216">
<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Usando as regras de deriva\303\247\303\243o apropriadas, encontrar a derivada de:</Font>

<Font italic="true">f(x)</Font> = <Font bold="true" style="Text" foreground="[0,128,128]">`$fn11`</Font>
</Text-field>
</Input>
</Group><EC-TextArea id="TextArea4" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label4" caption="Insira sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="69"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L215">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="70"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Taskdata-inline>ans5;</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="71"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L212">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(`$ANSWER`-`$RESPONSE`=0);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="72"><Font style="Text">A question can offer hints to students when requested.  Hints can contain text, 2-D Math, and algorithmic variables.  Adding hints to the question is optional.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="73"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L46" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Use the Power Rule.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Does the Product Rule need to be used?</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Does the Quotient Rule need to be used?</Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button16" caption="Dica #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea4`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Use&amp;MediumSpace;the&amp;MediumSpace;Power&amp;MediumSpace;Rule.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button17" caption="Dica #2" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea4`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Does&amp;MediumSpace;the&amp;MediumSpace;Product&amp;MediumSpace;Rule&amp;MediumSpace;need&amp;MediumSpace;to&amp;MediumSpace;be&amp;MediumSpace;used?&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button18" caption="Dica #3" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea4`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Does&amp;MediumSpace;the&amp;MediumSpace;Quotient&amp;MediumSpace;Rule&amp;MediumSpace;need&amp;MediumSpace;to&amp;MediumSpace;be&amp;MediumSpace;used?&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="74"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L214" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="75"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="76"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button19" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea4`, `value`);   ANSWER :=  ans5;  if evalb(ANSWER-eval(parse(StudentResponse))=0) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;56&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;56&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Resumo</Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">As Regras de Deriva\303\247\303\243o fornecem as ferramentas necess\303\241rias para derivar uma fun\303\247\303\243o </Font><Font italic="true">sem avaliar </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/E/explicit.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" italic="true">explicitamente</Font></Hyperlink><Font italic="true"> um limite.</Font><Font encoding="UTF-8"> Com estas regras \303\251 poss\303\255vel derivar qualquer </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/P/polynomial.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">polin\303\264mio</Font></Hyperlink><Font encoding="UTF-8"> ou fun\303\247\303\243o racional. As Regras do Produto e do Quociente s\303\243o particularmentehe dignas de nota porque elas n\303\243o fazem paralelo com suas correspondentes Regras de Limite. J\303\241 vimos que a Regra de Pot\303\252ncia, de fato, se aplica para qualquer inteiro</Font>.</Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">A habilidade para reconhecer e aplicar apropriadamente regras de deriva\303\247\303\243o \303\251 essencial para o sucesso no restante deste curso. Voc\303\252 precisa ser capaz de computar derivadas com facilidade, rapidez e precis\303\243o.    </Font></Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
</Input>
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<Text-field style="Text" layout="Normal"></Text-field>
</Input>
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</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Pr\303\263ximo Cap\303\255tulo</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
<Group labelreference="L95" drawlabel="true">
<Input>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false">O maplet <Hyperlink linktarget="Maplet:../Maplets/Differentiation.maplet" hyperlink="true"><Font style="Hyperlink">Differentiation</Font></Hyperlink> (ou o <Font bold="true" encoding="UTF-8">Tutor M\303\251todos de Diferencia\303\247\303\243o)</Font><Font encoding="UTF-8"> deve ser usado para desenvolver a habilidade em selecionar a regra de deriva\303\247\303\243o apropriada para cada passo em um problema de deriva\303\247\303\243o. </Font></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Nossa lista de Regras de Deriva\303\247\303\243o n\303\243o est\303\241 completa ainda. A Regra da Cadeia \303\251 t\303\243o importante -- e poderosa -- que \303\251 discutida em um cap\303\255tulo em separado. Nossa lista de regras ficar\303\241 completa quando aprendermos  sobre deriva\303\247\303\243o de fun\303\247\303\265es trigonom\303\251tricas no Cap\303\255tulo 13. Ambos os cap\303\255tulos fornecer\303\243o experi\303\252ncia adicional no c\303\241lculo de derivadas</Font>.</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
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<Text-field style="Chapter Navigation" layout="Chapter Navigation"></Text-field>
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