What is the derivative of 1/((x+6)^2) ?

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

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

The first derivative of 1/((x+6)^2) is -2/((x+6)^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 + 6 ) ^{2}}

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

Solution steps

\frac{d}{d x} (\frac{1}{( x + 6 ) ^{2}})

Apply exponent rule:

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

= \frac{d}{d x} ((x + 6)^{- 2})

Apply the chain rule:

- \frac{2}{( x + 6 ) ^{3}} \frac{d}{d x} (x + 6)

= - \frac{2}{( x + 6 ) ^{3}} \frac{d}{d x} (x + 6)

\frac{d}{d x} (x + 6) = 1

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

Simplify

= - \frac{2}{( x + 6 ) ^{3}}

x y^{^{'}} + y = yy

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

\frac{2 x}{x + 1}

\int \frac{1}{e ^{- 2 y}} d y

\int_{0}^{\frac{1}{2}} 30 x d x

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