What is (\partial)/(\partial x)(1+e^x) ?

The answer to (\partial)/(\partial x)(1+e^x) is e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(1+e^x)

\frac{\partial}{\partial x} (1 + e^{x})

e^{x}

Solution steps

\frac{\partial}{\partial x} (1 + e^{x})

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (1) = 0

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

= 0 + e^{x}

Simplify

= e^{x}

\frac{d}{d x} (\frac{1}{x \cdot ln ( x ^{9} )})

\frac{d}{d x} (\frac{2}{3 x ^{3}})

\int \frac{8}{x ^{7}} d x

\int 18 x^{17} d x

x + x + x

What is (\partial)/(\partial x)(1+e^x) ?
The answer to (\partial)/(\partial x)(1+e^x) is e^x