Implicit Differentiation With Exponential Functions

Mark

For the curve defined by the equation $e^{x+y} - x^2 = e^2 - 1$ , what is the value of $\frac{dy}{dx}$ at the point $(1, 1)$ ?

$2-e^2$

$\frac{2-e^2}{e^2}$

$\frac{e^2-2}{e^2}$

$\frac{2}{e^2-1}$

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