Find $f _ { x y }$ for $f ( x , y ) = x ^ { 3 } + y ^ { 3 }$
A) 6y
B) 0
C) 6x
D) $3 x ^ { 2 } + 3 y ^ { 2 }$

Name: Find $f _ { x y }$ for $f ( x , y ) = x ^ { 3 } + y ^ { 3 }$ A) 6y B) 0 C) 6x D) $3 x ^ { 2 } + 3 y ^ { 2 }$
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Question

Quizplus · Accepted Answer

To find $f_{xy}$, we first differentiate $f(x, y) = x^3 + y^3$ partially with respect to $x$, which gives $3x^2$, and then differentiate that result with respect to $y$. Since $3x^2$ does not contain $y$, its derivative with respect to $y$ is 0.

Find fxyf _ { x y }fxy​ For f(x,y)=x3+y3f ( x , y ) = x ^ { 3 } + y ^ { 3 }f(x,y)=x3+y3

Find $f _ { x y }$ For $f ( x , y ) = x ^ { 3 } + y ^ { 3 }$