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

The derivative of e^{-2x^3} is -6e^{-2x^3}x^2

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

The first derivative of e^{-2x^3} is -6e^{-2x^3}x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (- 2 x^{3}) = - 6 x^{2}

= e^{- 2 x^{3}} (- 6 x^{2})

Simplify

= - 6 e^{- 2 x^{3}} x^{2}

\int 6 x 3 x + 1 d x

\frac{d}{d x} (\frac{x ^{2} - 9}{x - 3})

\frac{\partial}{\partial u ( v )} (\frac{e ^{v}}{u ( v ) + v ^{3}})

\int_{1}^{\infty} \frac{5}{x ^{2} + 1} d x

n = 2 \sum \infty \frac{( - 1 ) ^{n}}{n}

What is the derivative of e^{-2x^3} ?
The derivative of e^{-2x^3} is -6e^{-2x^3}x^2
What is the first derivative of e^{-2x^3} ?
The first derivative of e^{-2x^3} is -6e^{-2x^3}x^2