What is the derivative of e^{-x/5} ?

The derivative of e^{-x/5} is -1/5 e^{-x/5}

What is the first derivative of e^{-x/5} ?

The first derivative of e^{-x/5} is -1/5 e^{-x/5}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (e^{- \frac{x}{5}})

- \frac{1}{5} e^{- \frac{x}{5}}

Solution steps

\frac{d}{d x} (e^{- \frac{x}{5}})

Apply the chain rule:

e^{- \frac{x}{5}} \frac{d}{d x} (- \frac{x}{5})

= e^{- \frac{x}{5}} \frac{d}{d x} (- \frac{x}{5})

\frac{d}{d x} (- \frac{x}{5}) = - \frac{1}{5}

= e^{- \frac{x}{5}} (- \frac{1}{5})

Simplify

= - \frac{1}{5} e^{- \frac{x}{5}}

f (x) = \frac{1}{( 1 + x ^{2} )}, at x = 1

\frac{d y}{d x} + y = \frac{1 - e ^{- 2 x}}{e ^{x} - e ^{- x}}

\int x (4 x - 3)^{10} d x

\frac{d}{d x} ((3 x^{2} - 2 x + 3)^{5})

f (x) = ln (2 x + 1)

What is the derivative of e^{-x/5} ?
The derivative of e^{-x/5} is -1/5 e^{-x/5}
What is the first derivative of e^{-x/5} ?
The first derivative of e^{-x/5} is -1/5 e^{-x/5}