Find the partial derivative $$f _ { x } \text { for the function } f ( x , y ) = x ^ { 2 } - 8 y ^ { 2 } + 6 \text {. }$$
A) $f _ { x } ( x , y ) = 16 x$
B) $f _ { x } ( x , y ) = 2 x$
C) $f _ { x } ( x , y ) = 32 x$
D) $f _ { x } ( x , y ) = 17 x$
E) $f _ { x } ( x , y ) = 9 x$

Question

Find the partial derivative $$f _ { x } \text { for the function } f ( x , y ) = x ^ { 2 } - 8 y ^ { 2 } + 6 \text {. }$$ 
A) $f _ { x } ( x , y ) = 16 x$
B) $f _ { x } ( x , y ) = 2 x$
C) $f _ { x } ( x , y ) = 32 x$
D) $f _ { x } ( x , y ) = 17 x$
E) $f _ { x } ( x , y ) = 9 x$

Quizplus · Accepted Answer

The partial derivative of $f(x, y) = x^2 - 8y^2 + 6$ with respect to $x$ is $f_x(x, y) = 2x$, since the derivative of $x^2$ with respect to $x$ is $2x$, and the other terms do not involve $x$ and thus their derivatives with respect to $x$ are 0.

Find the Partial Derivative fx for the function f(x,y)=x2−8y2+6. f _ { x } \text { for the function } f ( x , y ) = x ^ { 2 } - 8 y ^ { 2 } + 6 \text {. }fx​ for the function f(x,y)=x2−8y2+6.

Find the Partial Derivative $f _ { x } \text { for the function } f ( x , y ) = x ^ { 2 } - 8 y ^ { 2 } + 6 \text {. }$