What is the derivative of e^{-14x} ?

The derivative of e^{-14x} is -14e^{-14x}

What is the first derivative of e^{-14x} ?

The first derivative of e^{-14x} is -14e^{-14x}

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derivative of

e^{- 14 x}

- 14 e^{- 14 x}

Solution steps

\frac{d}{d x} (e^{- 14 x})

Apply the chain rule:

e^{- 14 x} \frac{d}{d x} (- 14 x)

= e^{- 14 x} \frac{d}{d x} (- 14 x)

\frac{d}{d x} (- 14 x) = - 14

= e^{- 14 x} (- 14)

Simplify

= - 14 e^{- 14 x}

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What is the derivative of e^{-14x} ?
The derivative of e^{-14x} is -14e^{-14x}
What is the first derivative of e^{-14x} ?
The first derivative of e^{-14x} is -14e^{-14x}