Implicit Differentiation with an Exponential Function

Question

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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