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Implicit Differentiation at a Point

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If ex2+y−xy=ee^{x^2 + y} - xy = e, what is the value of dydx\frac{dy}{dx} at the point (1,0)(1, 0)?

A

−2ee−1\frac{-2e}{e-1}

B

2ee−1\frac{2e}{e-1}

C

−2ee+1\frac{-2e}{e+1}

D

2e1+e\frac{2e}{1+e}

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