Implicit Differentiation with an Exponential Function

Mark

For the curve defined by $e^{x*y}=x+y$ , determine an expression for $\frac{dy}{dx}$ .

$\frac{1- e^{x*y}*y}{e^{x*y}*x - 1}$

$\frac{e^{x*y}*y-1}{e^{x*y}*x-1}$

$\frac{1- e^{x*y}*x}{e^{x*y}*y-1}$

$\frac{e^{x*y}*x-1}{1- e^{x*y}*y}$

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