Compute $f _ { x }$ for $f ( x , y ) = 2 x y ^ { 9 }$ .
A) $2 y ^ { 9 }$
B) $18 x y ^ { 8 }$
C) 2x
D) $18 x y ^ { 8 } + 2 y ^ { 9 }$

Name: Compute $f _ { x }$ for $f ( x , y ) = 2 x y ^ { 9 }$ . A) $2 y ^ { 9 }$ B) $18 x y ^ { 8 }$ C) 2x D) $18 x y ^ { 8 } + 2 y ^ { 9 }$
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Question

Quizplus · Accepted Answer

To find $f_x$, we differentiate $f(x, y) = 2xy^9$ with respect to $x$, treating $y$ as a constant. The derivative is $2y^9$, as $y^9$ acts as a constant multiplier to $x$.

Compute fxf _ { x }fx​ For f(x,y)=2xy9f ( x , y ) = 2 x y ^ { 9 }f(x,y)=2xy9

Compute $f _ { x }$ For $f ( x , y ) = 2 x y ^ { 9 }$