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

Question 29

Multiple Choice

Calculate ∂f∂x\frac { \partial f } { \partial x } , and ∂f∂y\frac { \partial f } { \partial y } when defined. f(x,y) =6x3−y3+x−12f ( x , y ) = 6 x ^ { 3 } - y ^ { 3 } + x - 12


A) ∂f∂x=18x2+1−3y2\frac { \partial f } { \partial x } = 18 x ^ { 2 } + 1 - 3 y ^ { 2 } , ∂f∂y=18x2+1\frac { \partial f } { \partial y } = 18 x ^ { 2 } + 1
B) ∂f∂x=18x2+1\frac { \partial f } { \partial x } = 18 x ^ { 2 } + 1 , ∂f∂y=−3y2\frac { \partial f } { \partial y } = - 3 y ^ { 2 }
C) ∂f∂x=−3y2\frac { \partial f } { \partial x } = - 3 y ^ { 2 } , ∂f∂y=18x2+1\frac { \partial f } { \partial y } = 18 x ^ { 2 } + 1
D) ∂f∂x=6x2+1\frac { \partial f } { \partial x } = 6 x ^ { 2 } + 1 , ∂f∂y=−3y2\frac { \partial f } { \partial y } = - 3 y ^ { 2 }
E) ∂f∂x=6x2\frac { \partial f } { \partial x } = 6 x ^ { 2 } , ∂f∂y=y2\frac { \partial f } { \partial y } = y ^ { 2 }

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