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

The derivative of e^{-x} is -e^{-x}

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

The first derivative of e^{-x} is -e^{-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}

- e^{- 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) = - 1

= e^{- x} (- 1)

Simplify

= - e^{- x}

5 cos (π x)

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

\frac{d}{d t} (e^{- a t} cos (x t))

y^{^{'}} = \frac{2 x ^{5} e ^{\frac{y}{x}} + x ^{3} y ^{2}}{x ^{4} y}

f (x) = - 2 x^{2} + 4 x - 4, at x = 3

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