What is the derivative of e^{-13x} ?

The derivative of e^{-13x} is -13e^{-13x}

What is the first derivative of e^{-13x} ?

The first derivative of e^{-13x} is -13e^{-13x}

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\frac{d}{d x} (e^{- 13 x})

- 13 e^{- 13 x}

Solution steps

\frac{d}{d x} (e^{- 13 x})

Apply the chain rule:

e^{- 13 x} \frac{d}{d x} (- 13 x)

= e^{- 13 x} \frac{d}{d x} (- 13 x)

\frac{d}{d x} (- 13 x) = - 13

= e^{- 13 x} (- 13)

Simplify

= - 13 e^{- 13 x}

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What is the derivative of e^{-13x} ?
The derivative of e^{-13x} is -13e^{-13x}
What is the first derivative of e^{-13x} ?
The first derivative of e^{-13x} is -13e^{-13x}