Answer
$\frac{dy}{dx}=(-2e^{\frac{-x}{5}})$
Work Step by Step
$y=10e^{\frac{-x}{5}}$
on differentiating both sides:
$\frac{dy}{dx}=\frac{d(10e^{\frac{-x}{5}})}{dx}$
$\frac{dy}{dx}=(10\frac{-1}{5}e^{\frac{-x}{5}})$
$\frac{dy}{dx}=(-2e^{\frac{-x}{5}})$