Compute $f _ { y }$ for $f ( x , y ) = 2 x y ^ { 8 }$ .
A) $16 x y ^ { 7 }$
B) 2x
C) $2 y ^ { 8 }$
D) $16 x y ^ { 7 } + 2 y ^ { 8 }$

Name: Compute $f _ { y }$ for $f ( x , y ) = 2 x y ^ { 8 }$ . A) $16 x y ^ { 7 }$ B) 2x C) $2 y ^ { 8 }$ D) $16 x y ^ { 7 } + 2 y ^ { 8 }$
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Question

Quizplus · Accepted Answer

To find $f_y$, we differentiate $f(x, y) = 2xy^8$ with respect to $y$, treating $x$ as a constant. The derivative is $16xy^7$.

Compute fyf _ { y }fy​ For f(x,y)=2xy8f ( x , y ) = 2 x y ^ { 8 }f(x,y)=2xy8

Compute $f _ { y }$ For $f ( x , y ) = 2 x y ^ { 8 }$