Compute $f _ { y }$ for $f ( x , y ) = 7 x y ^ { 6 }$
A) $7 y ^ { 6 }$
B) $42 x y ^ { 5 } + 7 y ^ { 6 }$
C)7x
D) $42 x y ^ { 5 }$

Name: Compute $f _ { y }$ for $f ( x , y ) = 7 x y ^ { 6 }$ A) $7 y ^ { 6 }$ B) $42 x y ^ { 5 } + 7 y ^ { 6 }$ C)7x D) $42 x y ^ { 5 }$
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Question

Quizplus · Accepted Answer

To find $f_y$, we differentiate $f(x, y) = 7xy^6$ with respect to $y$, treating $x$ as a constant. The derivative is $42xy^5$, which corresponds to option D.

Compute fyf _ { y }fy​ For f(x,y)=7xy6f ( x , y ) = 7 x y ^ { 6 }f(x,y)=7xy6

Compute $f _ { y }$ For $f ( x , y ) = 7 x y ^ { 6 }$