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

The derivative of e^{-x^2}-x is -2e^{-x^2}x-1

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

The first derivative of e^{-x^2}-x is -2e^{-x^2}x-1

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^{2}} - x)

- 2 e^{- x^{2}} x - 1

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d x}{d x} = 1

= - 2 e^{- x^{2}} x - 1

(6.3) (9.6)

y^{^{''}} - 4 y^{^{'}} + 5 y = 0

\frac{\partial}{\partial y} (x^{2} + x e^{2 y})

y^{^{'}} + y = 2 e^{x}

\frac{2}{x ^{\frac{1}{3}}} - 2

What is the derivative of e^{-x^2}-x ?
The derivative of e^{-x^2}-x is -2e^{-x^2}x-1
What is the first derivative of e^{-x^2}-x ?
The first derivative of e^{-x^2}-x is -2e^{-x^2}x-1