What is (\partial)/(\partial x)(1+e^{2x}) ?

The answer to (\partial)/(\partial x)(1+e^{2x}) is 2e^{2x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(1+e^{2x})

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

2 e^{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (e^{2 x}) = e^{2 x} \cdot 2

= 0 + e^{2 x} \cdot 2

Simplify

= 2 e^{2 x}

What is (\partial)/(\partial x)(1+e^{2x}) ?
The answer to (\partial)/(\partial x)(1+e^{2x}) is 2e^{2x}