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

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

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

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

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^{2}} - x)

e^{x^{2}} \cdot 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}}) = e^{x^{2}} \cdot 2 x

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

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

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