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

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

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

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

x y^{^{'}} = 2 x^{2} + y, y (1) = 3

\frac{d}{d x} (cos (3 ln (x)))

e^{x} - 5 x^{4}

\int \frac{4}{( x + 2 ) ^{2}} d x

\int 3 x cos (8 x) d x

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