Calculate $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,8 ) }$

Calculate $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,8 ) }$ , and $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,8 ) }$ when defined. $f ( x , y ) = x ^ { 2 } y ^ { 3 } - x ^ { 3 } y ^ { 2 } - x y$

A) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,8 ) } = - 1016$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,8 ) } = 2048$
B) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,8 ) } = - 1016$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,8 ) } = - 2048$
C) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,8 ) } = 2044$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,8 ) } = 1016$
D) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,8 ) } = 1024$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,8 ) } = 2048$
E) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,8 ) } = 1016$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,8 ) } = 2044$

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