What is the derivative of 4/(e^{2x)} ?

The derivative of 4/(e^{2x)} is -8e^{-2x}

What is the first derivative of 4/(e^{2x)} ?

The first derivative of 4/(e^{2x)} is -8e^{-2x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{4}{e ^{2 x}}

- 8 e^{- 2 x}

Solution steps

\frac{d}{d x} (\frac{4}{e ^{2 x}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (\frac{1}{e ^{2 x}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 4 \frac{d}{d x} (e^{- 2 x})

Apply the chain rule:

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

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

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

= 4 e^{- 2 x} (- 2)

Simplify

= - 8 e^{- 2 x}

x \to 0 lim ((\frac{5}{6})^{\frac{1}{x}})

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

\frac{d}{d t} (e^{- t^{2}})

\int x ln^{2} (5 x) d x

\int 2 x + 3 y d x

What is the derivative of 4/(e^{2x)} ?
The derivative of 4/(e^{2x)} is -8e^{-2x}
What is the first derivative of 4/(e^{2x)} ?
The first derivative of 4/(e^{2x)} is -8e^{-2x}