What is the derivative of e^{-15x} ?

The derivative of e^{-15x} is -15e^{-15x}

What is the first derivative of e^{-15x} ?

The first derivative of e^{-15x} is -15e^{-15x}

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\frac{d}{d x} (e^{- 15 x})

- 15 e^{- 15 x}

Solution steps

\frac{d}{d x} (e^{- 15 x})

Apply the chain rule:

e^{- 15 x} \frac{d}{d x} (- 15 x)

= e^{- 15 x} \frac{d}{d x} (- 15 x)

\frac{d}{d x} (- 15 x) = - 15

= e^{- 15 x} (- 15)

Simplify

= - 15 e^{- 15 x}

What is the derivative of e^{-15x} ?
The derivative of e^{-15x} is -15e^{-15x}
What is the first derivative of e^{-15x} ?
The first derivative of e^{-15x} is -15e^{-15x}