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

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

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

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

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derivative of

e^{- x^{3}}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int cos (d) x d x

x \to 0 lim (\frac{1}{e ^{x} - 1} - \frac{1}{x})

\int (\frac{x ^{3} - 2 x}{x}) d x

y = - \frac{1}{2 x ^{3}}, (2, - \frac{1}{16})

x \to 0 lim (2 x ln (1 - x^{2}))

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