What is the derivative of e^{-10x} ?

The derivative of e^{-10x} is -10e^{-10x}

What is the first derivative of e^{-10x} ?

The first derivative of e^{-10x} is -10e^{-10x}

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\frac{d}{d x} (e^{- 10 x})

- 10 e^{- 10 x}

Solution steps

\frac{d}{d x} (e^{- 10 x})

Apply the chain rule:

e^{- 10 x} \frac{d}{d x} (- 10 x)

= e^{- 10 x} \frac{d}{d x} (- 10 x)

\frac{d}{d x} (- 10 x) = - 10

= e^{- 10 x} (- 10)

Simplify

= - 10 e^{- 10 x}

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What is the derivative of e^{-10x} ?
The derivative of e^{-10x} is -10e^{-10x}
What is the first derivative of e^{-10x} ?
The first derivative of e^{-10x} is -10e^{-10x}