Differentiate the functions $e^{-x}$ with respect to $x$.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $-e^{-x}$ ##
Let $y = e^{-x}$.
Using chain rule, we have
$\frac{dy}{dx} = e^{-x} \cdot \frac{d}{dx}(-x) = -e^{-x}$