What is the derivative of e^{-sqrt(x)} ?

The derivative of e^{-sqrt(x)} is -(e^{-sqrt(x)})/(2sqrt(x))

What is the first derivative of e^{-sqrt(x)} ?

The first derivative of e^{-sqrt(x)} is -(e^{-sqrt(x)})/(2sqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

e^{- x}

- \frac{e ^{- x}}{2 x}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (- x) = - \frac{1}{2 x}

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

Simplify

e^{- x} (- \frac{1}{2 x}) : - \frac{e ^{- x}}{2 x}

= - \frac{e ^{- x}}{2 x}

x \to 8 lim (\frac{1}{x - 8})

\frac{d}{d x} (\frac{ln ( x )}{4 x})

\frac{6}{x + 4}

x \to - 2 - lim (ln (x + 3))

\frac{2}{\frac{1}{4} + h} - 4

What is the derivative of e^{-sqrt(x)} ?
The derivative of e^{-sqrt(x)} is -(e^{-sqrt(x)})/(2sqrt(x))
What is the first derivative of e^{-sqrt(x)} ?
The first derivative of e^{-sqrt(x)} is -(e^{-sqrt(x)})/(2sqrt(x))