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

The derivative of e^{-ax} is -ae^{-ax}

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

The first derivative of e^{-ax} is -ae^{-ax}

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^{- a x})

- a e^{- a x}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (- a x) = - a

= e^{- a x} (- a)

Simplify

= - a e^{- a x}

\int \frac{56}{1 - cos ( 7 x )} d x

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

\int \frac{t ^{3}}{4 3 + t ^{4}} d t

\int_{0}^{1} e^{- s t} (t) d t

49 y^{^{''}} - 70 y^{^{'}} + 25 y = 0, y (0) = 2, y^{^{'}} (0) = 3

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