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Give an Appropriate Answer f(x,y)=x37x2y6xy3f ( x , y ) = x ^ { 3 } - 7 x ^ { 2 } y - 6 x y ^ { 3 }

Question 88

Multiple Choice

Give an appropriate answer.
- f(x,y) =x37x2y6xy3f ( x , y ) = x ^ { 3 } - 7 x ^ { 2 } y - 6 x y ^ { 3 }


A) fx=3x2;fy=7x218xy2\frac { \partial f } { \partial x } = 3 x ^ { 2 } ; \frac { \partial f } { \partial y } = - 7 x ^ { 2 } - 18 x y ^ { 2 }
B) fx=3x2+2xy6y3;fy=7x2+3xy2\frac { \partial f } { \partial x } = 3 x ^ { 2 } + 2 x y - 6 y ^ { 3 } ; \frac { \partial f } { \partial y } = - 7 x ^ { 2 } + 3 x y ^ { 2 }
C) fx=3x214xy6y3;fy=7x218xy2\frac { \partial f } { \partial x } = 3 x ^ { 2 } - 14 x y - 6 y ^ { 3 } ; \frac { \partial f } { \partial y } = - 7 x ^ { 2 } - 18 x y ^ { 2 }
D) fx=x27xy6y3;fy=7x26xy2\frac { \partial f } { \partial x } = x ^ { 2 } - 7 x y - 6 y ^ { 3 } ; \frac { \partial f } { \partial y } = - 7 x ^ { 2 } - 6 x y ^ { 2 }

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