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

question 94

Multiple Choice

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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