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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

e^{- x^{5}}

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

Solution steps

\frac{d}{d x} (e^{- x^{5}})

Apply the chain rule:

e^{- x^{5}} \frac{d}{d x} (- x^{5})

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

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

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

Simplify

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

\int (u + 3) (8 u + 5) d u

\int \frac{e ^{4 x}}{( e ^{2 x} - 1 ) ^{3}} d x

\frac{d}{d x} (ln (\frac{3}{x}))

x \to 2 + lim (\frac{1}{( x - 2 ) ^{3}})

x \to 0 lim (\frac{x}{x ^{2} - 4 x})

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