What is the derivative of e^xx+2e^x ?

The derivative of e^xx+2e^x is e^xx+3e^x

What is the first derivative of e^xx+2e^x ?

The first derivative of e^xx+2e^x is e^xx+3e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

e^{x} x + 2 e^{x}

e^{x} x + 3 e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= e^{x} x + 3 e^{x}

What is the derivative of e^xx+2e^x ?
The derivative of e^xx+2e^x is e^xx+3e^x
What is the first derivative of e^xx+2e^x ?
The first derivative of e^xx+2e^x is e^xx+3e^x