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

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

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

The first derivative of (-1/((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} (\frac{- 1}{( x - 2 ) ^{2}})

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

Solution steps

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

Simplify

\frac{- 1}{( x - 2 ) ^{2}} : - \frac{1}{( x - 2 ) ^{2}}

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

Take the constant out:

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

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

Apply exponent rule:

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

= - \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}}

x \to - \infty lim (e^{x} + e^{- x})

\int 16 - 8 x^{2} + x^{4} d x

\int a x^{2} d x

f (x) = \frac{tan ( x ) - 1}{sec ( x )}

2 x^{2} y^{^{'}} = π y sin (\frac{π}{2 x})

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