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

The derivative of ((x-2/(x-pi))^{-3}) is -(3(-pi+2)(x-pi)^2)/((x-2)^4)

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

The first derivative of ((x-2/(x-pi))^{-3}) is -(3(-pi+2)(x-pi)^2)/((x-2)^4)

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{x - 2}{x - π})^{- 3})

- \frac{3 ( - π + 2 ) ( x - π ) ^{2}}{( x - 2 ) ^{4}}

Solution steps

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

Apply the chain rule:

- \frac{3}{( \frac{x - 2}{x - π} ) ^{4}} \frac{d}{d x} (\frac{x - 2}{x - π})

= - \frac{3}{( \frac{x - 2}{x - π} ) ^{4}} \frac{d}{d x} (\frac{x - 2}{x - π})

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

= - \frac{3}{( \frac{x - 2}{x - π} ) ^{4}} \cdot \frac{- π + 2}{( x - π ) ^{2}}

Simplify

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

= - \frac{3 ( - π + 2 ) ( x - π ) ^{2}}{( x - 2 ) ^{4}}

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

4^{r}

\int cos (2 x) cos (7 x) d x

(x, y) \to (0, 0) lim (\frac{sin ( x y )}{x ^{2} + y ^{2}})

\int \frac{x}{x ^{4} + 12 x ^{3} + 36 x ^{2}} d x

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