What is the derivative of e^{-18x} ?

The derivative of e^{-18x} is -18e^{-18x}

What is the first derivative of e^{-18x} ?

The first derivative of e^{-18x} is -18e^{-18x}

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\frac{d}{d x} (e^{- 18 x})

- 18 e^{- 18 x}

Solution steps

\frac{d}{d x} (e^{- 18 x})

Apply the chain rule:

e^{- 18 x} \frac{d}{d x} (- 18 x)

= e^{- 18 x} \frac{d}{d x} (- 18 x)

\frac{d}{d x} (- 18 x) = - 18

= e^{- 18 x} (- 18)

Simplify

= - 18 e^{- 18 x}

What is the derivative of e^{-18x} ?
The derivative of e^{-18x} is -18e^{-18x}
What is the first derivative of e^{-18x} ?
The first derivative of e^{-18x} is -18e^{-18x}