Question

For \[y=e^{-3x}\], what is \[\frac{dy}{dx}\]?

Options

• \[\frac{dy}{dx}=3e^{-3x}\]

• \[\frac{dy}{dx}=-3e^{-3x}\]

• \[\frac{dy}{dx}=-6e^{-3x}\]

• \[\frac{dy}{dx}=9e^{-3x}\]

Answer 1

Differentiate \[e^{-3x}\] using the chain rule. The derivative of \[-3x\] is \[-3\], giving \[\frac{dy}{dx}=-3e^{-3x}\].