Question

Differentiate \[e^{-x}\] with respect to \[x\].

Options

• \[e^{-x}\]

• \[\frac{1}{e^{-x}}\]

• \[-e^{-x}\]

• \[-xe^{-x-1}\]

Answer 1

Using the chain rule, differentiate the exponent \[-x\] to obtain \[-1\]. Therefore, \[\frac{d}{dx}(e^{-x})=-e^{-x}\].