What is the derivative of (x+2^{-2}) ?

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

What is the first derivative of (x+2^{-2}) ?

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

f (x) = \frac{x}{e ^{x}}

y = 8 x - x^{2} (1.7)

\int_{0}^{2} 2 π x (4 - x^{2}) d x

\frac{1}{2} (6 t^{2} + t)^{- 3}

\frac{d}{d x} (e^{3 s i n^{2} (2 x)})

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