Compute $f _ { y }$ for $f ( x , y ) = 5 x y ^ { 3 }$
A) $15 x y ^ { 2 }$
B) $y ^ { 3 }$
C) 5x
D) $15 x y ^ { 2 } + 5 y ^ { 3 }$

Name: Compute $f _ { y }$ for $f ( x , y ) = 5 x y ^ { 3 }$ A) $15 x y ^ { 2 }$ B) $y ^ { 3 }$ C) 5x D) $15 x y ^ { 2 } + 5 y ^ { 3 }$
Brand: Quizplus
Rating: 4.9 (41 reviews)

Question

Quizplus · Accepted Answer

To find $f_y$, we differentiate $f(x, y) = 5xy^3$ with respect to $y$, treating $x$ as a constant. The derivative is $15xy^2$.

Compute fyf _ { y }fy​ For f(x,y)=5xy3f ( x , y ) = 5 x y ^ { 3 }f(x,y)=5xy3

Compute $f _ { y }$ For $f ( x , y ) = 5 x y ^ { 3 }$