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

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

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

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

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

Solution steps

\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})

Simplify

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

\int 6 y^{- 4} d y

5 x - x^{2}, (4, 4)

\int 5 - 2 x d x

t \to 0 lim (cos (t))

\int - cos (x) + sin (x) + 1 d x

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