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

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

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

The first derivative of y=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

derivative of

y = 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 \infty lim (6 \cdot x)

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

\frac{d}{d j} (3 i - 4 j)

\frac{d h}{d t} = - h^{2}

\int \frac{1}{x ^{2} x ^{2} - 5} d x

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