What is the derivative of e^{-8x^3} ?

The derivative of e^{-8x^3} is -24e^{-8x^3}x^2

What is the first derivative of e^{-8x^3} ?

The first derivative of e^{-8x^3} is -24e^{-8x^3}x^2

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\frac{d}{d x} (e^{- 8 x^{3}})

- 24 e^{- 8 x^{3}} x^{2}

Solution steps

\frac{d}{d x} (e^{- 8 x^{3}})

Apply the chain rule:

e^{- 8 x^{3}} \frac{d}{d x} (- 8 x^{3})

= e^{- 8 x^{3}} \frac{d}{d x} (- 8 x^{3})

\frac{d}{d x} (- 8 x^{3}) = - 24 x^{2}

= e^{- 8 x^{3}} (- 24 x^{2})

Simplify

= - 24 e^{- 8 x^{3}} x^{2}

x \to 1 lim (\frac{x ^{2} + x}{x + 1})

\int θ^{3} cos (θ^{2}) d θ

\frac{d}{d x} (\frac{2 x + 1}{x + 3})

\frac{d y}{d t} = t y + t

\frac{d y}{d x} = \frac{1}{2} x + 4

What is the derivative of e^{-8x^3} ?
The derivative of e^{-8x^3} is -24e^{-8x^3}x^2
What is the first derivative of e^{-8x^3} ?
The first derivative of e^{-8x^3} is -24e^{-8x^3}x^2