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

The derivative of e^{-x^8} is -8e^{-x^8}x^7

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

The first derivative of e^{-x^8} is -8e^{-x^8}x^7

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^{- x^{8}})

- 8 e^{- x^{8}} x^{7}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (- x^{8}) = - 8 x^{7}

= e^{- x^{8}} (- 8 x^{7})

Simplify

= - 8 e^{- x^{8}} x^{7}

\frac{\partial}{\partial x} (sin (\frac{x + y}{x - y}))

x^{3} - 12 x^{2} + 27 x, - x^{3} + 12 x^{2} - 27 x

\frac{d}{d x} (9 sin (x) + 9 cos (x))

x^{\frac{x}{3}}

f (x) = e^{2 x}, at x = \frac{1}{2} ln (2)

What is the derivative of e^{-x^8} ?
The derivative of e^{-x^8} is -8e^{-x^8}x^7
What is the first derivative of e^{-x^8} ?
The first derivative of e^{-x^8} is -8e^{-x^8}x^7