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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

e^{- x^{6}}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

y = \frac{x ^{5}}{x ^{3}}

4 + x

\int (3 a^{7} x^{6}) d x

10 cos (t - \frac{π}{6})

\frac{\partial}{\partial y} (y - x^{2})

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