Calculate $\frac { \partial f } { \partial x }$ And $\frac { \partial f } { \partial y }$

Multiple Choice

Calculate $\frac { \partial f } { \partial x }$ and $\frac { \partial f } { \partial y }$ when defined.
$f ( x , y ) = 8 x ^ { 2 } y$

A) $\frac { \partial f } { \partial x } = 8 x ^ { 2 }$ , $\frac { \partial f } { \partial x } = 16 x y$
B) $\frac { \partial f } { \partial x } = 16 x$ , $\frac { \partial f } { \partial y } = 8 x y$
C) $\frac { \partial f } { \partial x } = 16 x y$ , $\frac { \partial f } { \partial y } = 8 x ^ { 2 }$
D) $\frac { \partial f } { \partial x } = 16 x y$ , $\frac { \partial f } { \partial y } = 8 x ^ { 2 } y$
E) $\frac { \partial f } { \partial x } = - 8 y ^ { 2 }$ , $\frac { \partial f } { \partial y } = - 16 x$