What is the derivative of sqrt(1+e^x) ?

The derivative of sqrt(1+e^x) is (e^x)/(2sqrt(1+e^x))

What is the first derivative of sqrt(1+e^x) ?

The first derivative of sqrt(1+e^x) is (e^x)/(2sqrt(1+e^x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

1 + e^{x}

\frac{e ^{x}}{2 1 + e ^{x}}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{2 1 + e ^{x}} e^{x}

Simplify

\frac{1}{2 1 + e ^{x}} e^{x} : \frac{e ^{x}}{2 1 + e ^{x}}

= \frac{e ^{x}}{2 1 + e ^{x}}

\int - x cos (2 x) d x

e^{4 x^{2} + 1}

\int (1 + tan (θ))^{5} sec^{2} (θ) d θ

\frac{d y}{d x} = \frac{y ( 2 x ^{3} - y ^{3} )}{x ( 2 x ^{3} - 3 y ^{3} )}

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

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