What is the derivative of e^{-4x^6} ?

The derivative of e^{-4x^6} is -24e^{-4x^6}x^5

What is the first derivative of e^{-4x^6} ?

The first derivative of e^{-4x^6} is -24e^{-4x^6}x^5

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\frac{d}{d x} (e^{- 4 x^{6}})

- 24 e^{- 4 x^{6}} x^{5}

Solution steps

\frac{d}{d x} (e^{- 4 x^{6}})

Apply the chain rule:

e^{- 4 x^{6}} \frac{d}{d x} (- 4 x^{6})

= e^{- 4 x^{6}} \frac{d}{d x} (- 4 x^{6})

\frac{d}{d x} (- 4 x^{6}) = - 24 x^{5}

= e^{- 4 x^{6}} (- 24 x^{5})

Simplify

= - 24 e^{- 4 x^{6}} x^{5}

What is the derivative of e^{-4x^6} ?
The derivative of e^{-4x^6} is -24e^{-4x^6}x^5
What is the first derivative of e^{-4x^6} ?
The first derivative of e^{-4x^6} is -24e^{-4x^6}x^5