Give an appropriate answer.
-$$f ( x , y ) = 3 x - 3 y ^ { 2 } - 8$$
A) $\frac { \partial f } { \partial x } = - 5 ; \frac { \partial f } { \partial y } = - 6 y - 8$
B) $\frac { \partial f } { \partial x } = 3 x ; \frac { \partial f } { \partial y } = - 6 y$
C) $\frac { \partial f } { \partial x } = 3 ; \frac { \partial f } { \partial y } = - 6 y$
D) $\frac { \partial f } { \partial x } = - 6 y ; \frac { \partial f } { \partial y } = 3$

Question

Quizplus · Accepted Answer

The partial derivative of $f$ with respect to $x$ is $3$, since $3x$ differentiates to $3$ and the rest of the terms are treated as constants. The partial derivative of $f$ with respect to $y$ is $-6y$, since the derivative of $-3y^2$ with respect to $y$ is $-6y$.

Give an Appropriate Answer f(x,y)=3x−3y2−8f ( x , y ) = 3 x - 3 y ^ { 2 } - 8f(x,y)=3x−3y2−8

Give an Appropriate Answer $f ( x , y ) = 3 x - 3 y ^ { 2 } - 8$