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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

- e^{- x} - 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - e^{- x} - 2 x

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