What is the derivative of e^{x^2+x+1} ?

The derivative of e^{x^2+x+1} is e^{x^2+x+1}(2x+1)

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

The first derivative of e^{x^2+x+1} is e^{x^2+x+1}(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 + 1})

e^{x^{2} + x + 1} (2 x + 1)

Solution steps

\frac{d}{d x} (e^{x^{2} + x + 1})

Apply the chain rule:

e^{x^{2} + x + 1} \frac{d}{d x} (x^{2} + x + 1)

= e^{x^{2} + x + 1} \frac{d}{d x} (x^{2} + x + 1)

\frac{d}{d x} (x^{2} + x + 1) = 2 x + 1

= e^{x^{2} + x + 1} (2 x + 1)

What is the derivative of e^{x^2+x+1} ?
The derivative of e^{x^2+x+1} is e^{x^2+x+1}(2x+1)
What is the first derivative of e^{x^2+x+1} ?
The first derivative of e^{x^2+x+1} is e^{x^2+x+1}(2x+1)