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Implicit Differentiation with Product Rule

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Given the relation x2y+ey=xx^2y + e^y = x, which of the following is an expression for dydx\frac{dy}{dx}?

A

2xy1x2+ey\frac{2*x*y-1}{x^2+e^y}

B

1+2xyx2+ey\frac{1+2*x*y}{x^2+e^y}

C

12xyx2+ey\frac{1-2*x*y}{x^2+e^y}

D

12xyx2ey\frac{1-2*x*y}{x^2-e^y}

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