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# Compute Derivative of Difference Using Log and Exponential Rules

APCALC-ULCNZ7

Find $\cfrac{dy}{dx}$ at $x=1$ when $y=\ln x-\cfrac{1}{e^x}$.

A

$\cfrac{e+1}{e}$

B

$1-\cfrac{1}{e}$

C

$\cfrac{1}{e}$

D

$-\cfrac{1}{e}$