Calculate $\frac { \partial ^ { 2 } f } { \partial y ^ { 2 } }$

question 73

Multiple Choice

Calculate $\frac { \partial ^ { 2 } f } { \partial y ^ { 2 } }$ , $\frac { \partial ^ { 2 } f } { \partial x y }$ and evaluate each at $( 5,7 )$ . $f ( x , y ) = 950 - 16 x + 14 y + 6 x y$

• A) \(\left. \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } \right| _ { ( 5,7 ) } = 6\) , \(\left. \frac { \partial ^ { 2 } f } { \partial x y } \right| _ { ( 5,7 ) } = 0\)
• B) \(\left. \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } \right| _ { ( 5,7 ) } = 0\) , \(\left. \frac { \partial ^ { 2 } f } { \partial x y } \right| _ { ( 5,7 ) } = 0\)
• C) \(\left. \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } \right| _ { ( 5,7 ) } = 16\) , \(\left. \frac { \partial ^ { 2 } f } { \partial x y } \right| _ { \{ 5,7 ) } = 14\)
• D) \(\left. \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } \right| _ { ( 5,7 ) } = 6\) , \(\left. \frac { \partial ^ { 2 } f } { \partial x y } \right| _ { ( 5,7 ) } = 6\)
• E) \(\left. \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } \right| _ { ( 5,7 ) } = 0\) , \(\left. \frac { \partial ^ { 2 } f } { \partial x y } \right| _ { ( 5,7 ) } = 6\)

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