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

The derivative of e^x+x^e is e^x+ex^{e-1}

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

e^{x} + x^{e}

e^{x} + e x^{e - 1}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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