What is the derivative of e^{-16x} ?

The derivative of e^{-16x} is -16e^{-16x}

What is the first derivative of e^{-16x} ?

The first derivative of e^{-16x} is -16e^{-16x}

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\frac{d}{d x} (e^{- 16 x})

- 16 e^{- 16 x}

Solution steps

\frac{d}{d x} (e^{- 16 x})

Apply the chain rule:

e^{- 16 x} \frac{d}{d x} (- 16 x)

= e^{- 16 x} \frac{d}{d x} (- 16 x)

\frac{d}{d x} (- 16 x) = - 16

= e^{- 16 x} (- 16)

Simplify

= - 16 e^{- 16 x}

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What is the derivative of e^{-16x} ?
The derivative of e^{-16x} is -16e^{-16x}
What is the first derivative of e^{-16x} ?
The first derivative of e^{-16x} is -16e^{-16x}