Question

What is the derivative of $e^{-2x}$?

Answer 1

Determine the derivative of $e^{-2x}$.

Differentiate:

$\frac{\mathrm{d}}{\mathrm{d}x}{e}^{-2x}=-2e^{-2x}\left(\because \frac{\mathrm{d}}{\mathrm{d}x}{e}^{nx}=n{e}^{nx}\right)$

Hence, the required derivative$\frac{d}{dx}{e}^{-2x}=-2e^{-2x}$.