<?xml version="1.0" encoding="UTF-8"?>
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<Text-field style="Heading 1" layout="Normal">gradiente,</Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">s.</Font> <Font bold="true">1a.</Font><Font encoding="UTF-8"> a inclina\303\247\303\243o de uma reta medida como uma raz\303\243o entre sua proje\303\247\303\243o vertical e sua proje\303\247\303\243o horizontal. Assim o gradiente da reta ligandos os pontos (</Font><Font italic="true">x</Font><Font subscript="true">1</Font>, <Font italic="true">y</Font><Font subscript="true">1</Font>) e (<Font italic="true">x</Font><Font subscript="true">2</Font>, <Font italic="true">y</Font><Font subscript="true">2</Font>) no plano Cartesiano, como mostra a figura (a) </Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><Image height="260" width="200" zoomable="false">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<Drawing-Root>LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlKz9GKi0lLkJPVU5EU19IRUlHSFRHNiMkIiUrRUYqLSUpQ0hJTERSRU5HNiI=</Drawing-Root></Image></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">\303\251 </Font></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>, e a  <Font italic="true">forma gradiente</Font><Font encoding="UTF-8"> da equa\303\247\303\243o de uma reta que passa pelo ponto (</Font><Font italic="true">x</Font><Font subscript="true">1</Font>, <Font italic="true">y</Font><Font subscript="true">1</Font><Font encoding="UTF-8">) \303\251 </Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>, 
ou seja, </Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYjNihGKy1GIzYmLUYsNiVRIm1GJ0Y0RjctRjs2LVExJkludmlzaWJsZVRpbWVzO0YnRj5GQEZDRkVGR0ZJRktGTS9GUFEmMC4wZW1GJy9GU0Zpbi1GLDYlUSJ4RidGNEY3Rj4tRjs2LVEiK0YnRj5GQEZDRkVGR0ZJRktGTS9GUFEsMC4yMjIyMjIyZW1GJy9GU0Ziby1GIzYoRistSSVtc3ViR0YkNiVGMS1GIzYkLUkjbW5HRiQ2JFEiMUYnRj5GPi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUY7Ni1RKCZtaW51cztGJ0Y+RkBGQ0ZFRkdGSUZLRk1GYW9GY28tRiM2J0ZYRmVuLUZnbzYlRltvRmlvRl9wRitGPkYrRj5GK0Y+RitGPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYjNihGKy1GIzYmLUYsNiVRIm1GJ0Y0RjctRjs2LVExJkludmlzaWJsZVRpbWVzO0YnRj5GQEZDRkVGR0ZJRktGTS9GUFEmMC4wZW1GJy9GU0Zpbi1GLDYlUSJ4RidGNEY3Rj4tRjs2LVEiK0YnRj5GQEZDRkVGR0ZJRktGTS9GUFEsMC4yMjIyMjIyZW1GJy9GU0Ziby1GIzYoRistSSVtc3ViR0YkNiVGMS1GIzYkLUkjbW5HRiQ2JFEiMUYnRj5GPi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUY7Ni1RKCZtaW51cztGJ0Y+RkBGQ0ZFRkdGSUZLRk1GYW9GY28tRiM2J0ZYRmVuLUZnbzYlRltvRmlvRl9wRitGPkYrRj5GK0Y+RitGPkYrRj4=</Equation> 
<Font encoding="UTF-8">onde a equa\303\247\303\243o de uma reta \303\251 dada como </Font><Font italic="true">y</Font> = <Font italic="true">mx</Font> + <Font italic="true">c</Font>,   <Font italic="true">m</Font><Font encoding="UTF-8">  \303\251 o gradiente da reta, e </Font><Font italic="true">c</Font><Font encoding="UTF-8">  \303\251 a interse\303\247\303\243o com o eixo </Font><Font italic="true">y</Font>. <Font bold="true">b.</Font><Font encoding="UTF-8"> de forma geral , a inclina\303\247\303\243o de uma curva em um ponto medido como a inclina\303\247\303\243o da tangente no ponto; o gradiente da curva para </Font><Font italic="true">x</Font> = <Font italic="true">a</Font><Font encoding="UTF-8">  \303\251 a </Font><Hyperlink linktarget="Dictionary:Definition/rateofchange" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">taxa de varia\303\247\303\243o</Font></Hyperlink> <Hyperlink linktarget="Dictionary:Definition/instantaneous" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">instant\303\242nea</Font></Hyperlink><Font encoding="UTF-8"> no valor da fun\303\247\303\243o. Isto \303\251 dado pelo limite, \303\240 medida que  </Font><Font italic="true">x</Font>  se aproxima de  <Font italic="true">a</Font><Font encoding="UTF-8">, da taxa de varia\303\247\303\243o, </Font><Font family="MaplePi">D</Font> <Font italic="true">y</Font><Font encoding="UTF-8">, na vari\303\241vel dependente para a varia\303\247\303\243o, </Font><Font family="MaplePi">D</Font> <Font italic="true">x</Font><Font encoding="UTF-8">, na vari\303\241vel independente, como mostrado na figura (b) acima. </Font><Hyperlink linktarget="Dictionary:Definition/derivative" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">derivada</Font></Hyperlink>. <Font bold="true">2.</Font><Font encoding="UTF-8"> o vetor cujo as componentes paralelas \303\240 cada eixo coordenado s\303\243o as derivadas parciais de uma dada fun\303\247\303\243o em rela\303\247\303\243o \303\240 vari\303\241vel  mapeada sobre aquele eixo, e cuja dire\303\247\303\243o \303\251 aquela em que a derivada da fun\303\247\303\243o possui seu valor m\303\241ximo; o vetor </Font></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="Text" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2I1EhRictSShtZmVuY2VkR0YkNiQtRiM2OUYrLUkmbWZyYWNHRiQ2KC1JI21vR0YkNi1RKyZQYXJ0aWFsRDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkAvJSlzdHJldGNoeUdGQC8lKnN5bW1ldHJpY0dGQC8lKGxhcmdlb3BHRkAvJS5tb3ZhYmxlbGltaXRzR0ZALyUnYWNjZW50R0ZALyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTy1GIzYpRitGNy1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC4yZW1GJy8lJmRlcHRoR0ZZLyUqbGluZWJyZWFrR1ElYXV0b0YnRistRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnL0Y8USdpdGFsaWNGJ0YrRjsvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmlvLyUpYmV2ZWxsZWRHRkAtRjg2LVEwJkFwcGx5RnVuY3Rpb247RidGO0Y+RkFGQ0ZFRkdGSUZLRk1GUC1GVTYmRlcvRmVuUSYwLjRlbUYnRmduRmluRistRiw2JVEiRkYnRl9vRmJvLUY4Ni1RIixGJ0Y7Rj4vRkJGYW9GQ0ZFRkdGSUZLRk0vRlFRLDAuMzMzMzMzM2VtRictRjg2LVExJkludmlzaWJsZVRpbWVzO0YnRjtGPkZBRkNGRUZHRklGS0ZNRlBGKy1GNTYoRjctRiM2KUYrRjdGVEYrLUYsNiVRInlGJ0Zfb0Zib0YrRjtGZG9GZ29Gam9GXHBGXnBGYXBGK0ZlcEZocEZecUYrLUY1NihGNy1GIzYpRitGN0ZURistRiw2JVEiekYnRl9vRmJvRitGO0Zkb0Znb0Zqb0ZccEZecEZhcEYrRmVwRjtGO0YrLUYjNiRGK0Y7RitGX3JGK0Y7</Equation></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Frequentemente \303\251 necess\303\241rio que as parciais sejam cont\303\255nuas, nesse caso o gradiente \303\251 identific\303\241vel com a derivada da fun\303\247\303\243o vetorial. O gradiente \303\251 escrito como grad</Font><Font italic="true">F</Font>  ou  <Font family="MaplePi" encoding="UTF-8">\303\221</Font><Font italic="true">F</Font><Font encoding="UTF-8">. Veja tamb\303\251m </Font><Hyperlink linktarget="Dictionary:Definition/Frechetdifferential" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">derivada de Frechet</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/curl" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">rotacional</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/divergence" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">diverg\303\252ncia</Font></Hyperlink>. <Font bold="true">3.</Font> no geral, para um  <Hyperlink linktarget="Dictionary:Definition/Cartesiantensor" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">tensor Cartesiano</Font></Hyperlink> 
    T<Font subscript="true" italic="true">ijk</Font><Font subscript="true">...</Font> <Font bold="true">e</Font><Font subscript="true" italic="true">i</Font>  <Font family="MaplePi" encoding="UTF-8">\303\204</Font> <Font bold="true">e</Font><Font subscript="true" italic="true">j</Font>  <Font family="MaplePi" encoding="UTF-8">\303\204</Font>  <Font bold="true">e</Font><Font subscript="true" italic="true">k</Font> <Font family="MaplePi" encoding="UTF-8">\303\204</Font> ... 
a quantidade 
    <Equation executable="false" style="Text" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUkjbW9HRiQ2LVErJlBhcnRpYWxEO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOy8lKXN0cmV0Y2h5R0Y7LyUqc3ltbWV0cmljR0Y7LyUobGFyZ2VvcEdGOy8lLm1vdmFibGVsaW1pdHNHRjsvJSdhY2NlbnRHRjsvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZKLUYjNilGK0YyLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjJlbUYnLyUmZGVwdGhHRlQvJSpsaW5lYnJlYWtHUSVhdXRvRidGKy1JJW1zdWJHRiQ2JS1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvRjdRJ2l0YWxpY0YnLUYsNiVRInBGJ0Zdb0Zgby8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRitGNi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGXXAvJSliZXZlbGxlZEdGO0YrRjY=</Equation>(T<Font subscript="true" italic="true">ijk</Font><Font subscript="true">...</Font>) <Font bold="true">e</Font><Font subscript="true" italic="true">i</Font> <Font family="MaplePi" encoding="UTF-8">\303\204</Font> <Font bold="true">e</Font><Font subscript="true" italic="true">j</Font> <Font family="MaplePi" encoding="UTF-8">\303\204</Font> <Font bold="true">e</Font><Font subscript="true" italic="true">k</Font> <Font family="MaplePi" encoding="UTF-8">\303\204</Font> ... <Font family="MaplePi" encoding="UTF-8">\303\204</Font> <Font bold="true">e</Font><Font subscript="true" italic="true">p</Font>. 
<Font encoding="UTF-8">Veja tamb\303\251m </Font><Hyperlink linktarget="Help:VectorCalculus[Gradient]" hyperlink="true"><Font style="Hyperlink" family="Times New Roman">VectorCalculus[Gradient]</Font></Hyperlink>.</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
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</Worksheet>