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

Question 129

Multiple Choice

Calculate ∂f∂x\frac { \partial f } { \partial x } , and ∂f∂y\frac { \partial f } { \partial y } when defined. f(x,y) =e2xyf ( x , y ) = e ^ { 2 x y }


A) ∂f∂x=2ye2x\frac { \partial f } { \partial x } = 2 y e ^ { 2 x } , ∂f∂y=2xe2y\frac { \partial f } { \partial y } = 2 x e ^ { 2 y }
B) ∂f∂x=2ye2xy\frac { \partial f } { \partial x } = 2 y e ^ { 2 x y } , ∂f∂y=2xe2xy\frac { \partial f } { \partial y } = 2 x e ^ { 2 x y }
C) ∂f∂x=e2xy\frac { \partial f } { \partial x } = e ^ { 2 x y } , ∂f∂y=e2xy\frac { \partial f } { \partial y } = e ^ { 2 x y }
D) ∂f∂x=2e2xy\frac { \partial f } { \partial x } = 2 e ^ { 2 x y } , ∂f∂y=2e2xy\frac { \partial f } { \partial y } = 2 e ^ { 2 x y }
E) ∂f∂x=2y\frac { \partial f } { \partial x } = 2 y , ∂f∂y=2x\frac { \partial f } { \partial y } = 2 x

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