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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

(2 x^{2} + x + 1)^{- 3}

\frac{d a}{d a}

\frac{d y}{d t} = \frac{( 2 y ^{4} + t ^{4} )}{t y ^{3}}

\frac{d y}{d t} + 20 \frac{6}{5} - \frac{6}{5} e^{- 20 t} = 24

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