What is the derivative of e^{(-4x}) ?

The derivative of e^{(-4x}) is -4e^{-4x}

What is the first derivative of e^{(-4x}) ?

The first derivative of e^{(-4x}) is -4e^{-4x}

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\frac{d}{d x} (e^{(- 4 x)})

- 4 e^{- 4 x}

Solution steps

\frac{d}{d x} (e^{(- 4 x)})

Apply the chain rule:

e^{- 4 x} \frac{d}{d x} (- 4 x)

= e^{- 4 x} \frac{d}{d x} (- 4 x)

\frac{d}{d x} (- 4 x) = - 4

= e^{- 4 x} (- 4)

Simplify

= - 4 e^{- 4 x}

What is the derivative of e^{(-4x}) ?
The derivative of e^{(-4x}) is -4e^{-4x}
What is the first derivative of e^{(-4x}) ?
The first derivative of e^{(-4x}) is -4e^{-4x}