What is the derivative of 2/((x+1)^3) ?

The derivative of 2/((x+1)^3) is -6/((x+1)^4)

What is the first derivative of 2/((x+1)^3) ?

The first derivative of 2/((x+1)^3) is -6/((x+1)^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{2}{( x + 1 ) ^{3}}

- \frac{6}{( x + 1 ) ^{4}}

Solution steps

\frac{d}{d x} (\frac{2}{( x + 1 ) ^{3}})

Take the constant out:

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

= 2 \frac{d}{d x} (\frac{1}{( x + 1 ) ^{3}})

Apply exponent rule:

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

= 2 \frac{d}{d x} ((x + 1)^{- 3})

Apply the chain rule:

- \frac{3}{( x + 1 ) ^{4}} \frac{d}{d x} (x + 1)

= - \frac{3}{( x + 1 ) ^{4}} \frac{d}{d x} (x + 1)

\frac{d}{d x} (x + 1) = 1

= 2 (- \frac{3}{( x + 1 ) ^{4}} \cdot 1)

Simplify

2 (- \frac{3}{( x + 1 ) ^{4}} \cdot 1) : - \frac{6}{( x + 1 ) ^{4}}

= - \frac{6}{( x + 1 ) ^{4}}

f (x) = \frac{4 x}{x ^{2} + 1}, (1, 2)

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

\int \frac{1}{36 - x ^{2}} d x

\int sin^{3} (6 x) cos^{- 2} (6 x) d x

\int \frac{I n x}{x} d x

What is the derivative of 2/((x+1)^3) ?
The derivative of 2/((x+1)^3) is -6/((x+1)^4)
What is the first derivative of 2/((x+1)^3) ?
The first derivative of 2/((x+1)^3) is -6/((x+1)^4)