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Calculate fx\frac { \partial f } { \partial x } , And

Question 72

Multiple Choice

Calculate fx\frac { \partial f } { \partial x } , and fy\frac { \partial f } { \partial y } when defined. f(x,y) =9x0.7y0.9f ( x , y ) = 9 x ^ { 0.7 } y ^ { 0.9 }


A) fx=6.3x1.7y0.9\frac { \partial f } { \partial x } = 6.3 x ^ { 1.7 } y ^ { 0.9 } , fy=8.1x0.7y1.9\frac { \partial f } { \partial y } = 8.1 x ^ { 0.7 } y ^ { 1.9 }
B) fx=6.3x0.3y0.1\frac { \partial f } { \partial x } = - 6.3 x ^ { - 0.3 } y ^ { 0.1 } , fy=8.1x0.3y0.1\frac { \partial f } { \partial y } = - 8.1 x ^ { 0.3 } y ^ { - 0.1 }
C) fx=6.3x0.3\frac { \partial f } { \partial x } = 6.3 x ^ { - 0.3 } , fy=8.1y0.1\frac { \partial f } { \partial y } = 8.1 y ^ { - 0.1 }
D) fx=6.3x0.3y0.9\frac { \partial f } { \partial x } = 6.3 x ^ { - 0.3 } y ^ { 0.9 } , fy=8.1x0.7y0.1\frac { \partial f } { \partial y } = 8.1 x ^ { 0.7 } y ^ { - 0.1 }
E) fx=6.3x0.3y0.9\frac { \partial f } { \partial x } = 6.3 x ^ { - 0.3 } y ^ { 0.9 } , fy=8.1x1.7y1.9\frac { \partial f } { \partial y } = 8.1 x ^ { 1.7 } y ^ { - 1.9 }

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