What is the derivative of e^{1/2 x} ?

The derivative of e^{1/2 x} is e^{x/2} 1/2

What is the first derivative of e^{1/2 x} ?

The first derivative of e^{1/2 x} is e^{x/2} 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

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

Solution steps

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

Simplify

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

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

Apply the chain rule:

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

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

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

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

4 - 4 cos (7 x), 4 cos (7 x), 0 \geq x \geq \frac{π}{7}

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

\int x^{2} + 7 d x

y^{^{''}} = - 3 y - 2 y^{^{'}}, y (0) = 1, y^{^{'}} (0) = 0

\int \frac{4}{1 + x ^{2}} d x

What is the derivative of e^{1/2 x} ?
The derivative of e^{1/2 x} is e^{x/2} 1/2
What is the first derivative of e^{1/2 x} ?
The first derivative of e^{1/2 x} is e^{x/2} 1/2