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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

e^{- x^{2}}

- 2 e^{- x^{2}} x

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int_{0}^{s i n (x)} 6 t d t

y^{^{''}} + 2 y^{^{'}} - 48 y = 0

\int \frac{u}{u} d u

f (x) = \frac{1}{x} + 4, (- 2, 8)

\frac{\partial}{\partial x} (3 t^{2} e^{4 x})

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