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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

= 2 \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

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

Simplify

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

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

sin (x) \cdot cos (x)

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

\int \frac{1}{x ^{2} 4 x ^{2} - 9} d x

\frac{\partial}{\partial y} (y - 2)

(1.01)^{x} + 0.3 3^{x}

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