Prova de Cálculo Diferencial e Integral ( Discursiva )

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Prova de Cálculo Diferencial e Integral - 
III - Avaliação Discursiva - 
Questão 1 de 10 
 
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I. A derivada parcial no ponto (0,1) é (0,1) 
II. A derivada parcial no ponto (1,0) é (1,5) 
III. A derivada parcial em relação a x é 15 
 
 
Assinale a alternativa correta: 
A - Apenas I. Resposta correta 
 
B - Apenas II. 
 
C - Apenas III. 
 
D - Apenas I e III. 
 
E - Apenas II e III. 
 
Questão 2 de 10 
 
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A - image.png 6.09 KB Resposta correta 
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C - image.png 5.88 KB 
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E - image.png 5.81 KB 
 
Questão 3 de 10 
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D - image.png 1.26 KBResposta correta 
 
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Questão 4 de 10 
 
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A -
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C -
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D -
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Questão 5 de 10 
 
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A -
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B -
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C -
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D -
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E -
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Questão 6 de 10 
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A - Se uma das condições não for satisfeita a função será descontínua. 
Resposta correta 
 
B - Se apenas a terceira condição for satisfeita, a função será descontínua. 
 
C - Se as duas primeiras condições forem satisfeitas a função será contínua. 
 
D - Basta as duas primeiras condições serem satisfeitas para a função ser 
contínua. 
 
E - Basta a terceira condição ser satisfeitapara a função ser descontinua. 
 
Questão 6 de 10 
 
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A - Se uma das condições não for satisfeita a função será descontínua. 
Resposta correta 
 
B - Se apenas a terceira condição for satisfeita, a função será descontínua. 
 
C - Se as duas primeiras condições forem satisfeitas a função será contínua. 
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D - Basta as duas primeiras condições serem satisfeitas para a função ser 
contínua. 
 
E - Basta a terceira condição ser satisfeita para a função ser descontinua. 
 
Questão 8 de 10 
 
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E -
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Questão 9 de 10 
 
Ao tratar de funções de duas variáveis, as derivadas de 1º ordem devem ser 
determinadas levando em consideração a variável que se está derivando, 
mantendo a outra constante, desde que exista o limite. Já a interpretação 
geométrica das derivadas parciais de uma função com duas variáveis, é 
semelhante à interpretação das derivadas de uma variável, conforme 
representado na figura abaixo: 
 
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A interpretação geométrica das derivadas parciais de primeira ordem de f 
é: 
 
 
 
A -
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B -
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C -
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D -
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E -
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Questão 10 de 10 
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A - A derivada parcial em relação a y é descontínua. 
 
B - A derivada no ponto (0,0) é igual a (1,1). 
 
C - A derivada parcial em relação a x é contínua. Resposta correta 
 
D - A derivada parcial em relação a x no ponto x = 0 é 2. 
 
E - As derivadas parciais são descontínuas. 
 
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