What is the derivative of e^{-8x^2} ?

The derivative of e^{-8x^2} is -16e^{-8x^2}x

What is the first derivative of e^{-8x^2} ?

The first derivative of e^{-8x^2} is -16e^{-8x^2}x

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^{- 8 x^{2}})

- 16 e^{- 8 x^{2}} x

Solution steps

\frac{d}{d x} (e^{- 8 x^{2}})

Apply the chain rule:

e^{- 8 x^{2}} \frac{d}{d x} (- 8 x^{2})

= e^{- 8 x^{2}} \frac{d}{d x} (- 8 x^{2})

\frac{d}{d x} (- 8 x^{2}) = - 16 x

= e^{- 8 x^{2}} (- 16 x)

Simplify

= - 16 e^{- 8 x^{2}} x

\frac{\partial}{\partial y} (e^{(x + y)} - 1)

\frac{\partial}{\partial z} (3 y cos (π x) + 2 x z)

\frac{d}{d x} (\frac{3}{3 x - 5})

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

\frac{d}{d x} (x + \frac{4}{x ^{2}})

What is the derivative of e^{-8x^2} ?
The derivative of e^{-8x^2} is -16e^{-8x^2}x
What is the first derivative of e^{-8x^2} ?
The first derivative of e^{-8x^2} is -16e^{-8x^2}x