What is the derivative of ((3x+2/(x-1))^7) ?

The derivative of ((3x+2/(x-1))^7) is -(35(3x+2)^6)/((x-1)^8)

What is the first derivative of ((3x+2/(x-1))^7) ?

The first derivative of ((3x+2/(x-1))^7) is -(35(3x+2)^6)/((x-1)^8)

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{3 x + 2}{x - 1})^{7})

- \frac{35 ( 3 x + 2 ) ^{6}}{( x - 1 ) ^{8}}

Solution steps

\frac{d}{d x} ((\frac{3 x + 2}{x - 1})^{7})

Apply the chain rule:

7 (\frac{3 x + 2}{x - 1})^{6} \frac{d}{d x} (\frac{3 x + 2}{x - 1})

= 7 (\frac{3 x + 2}{x - 1})^{6} \frac{d}{d x} (\frac{3 x + 2}{x - 1})

\frac{d}{d x} (\frac{3 x + 2}{x - 1}) = - \frac{5}{( x - 1 ) ^{2}}

= 7 (\frac{3 x + 2}{x - 1})^{6} (- \frac{5}{( x - 1 ) ^{2}})

Simplify

7 (\frac{3 x + 2}{x - 1})^{6} (- \frac{5}{( x - 1 ) ^{2}}) : - \frac{35 ( 3 x + 2 ) ^{6}}{( x - 1 ) ^{8}}

= - \frac{35 ( 3 x + 2 ) ^{6}}{( x - 1 ) ^{8}}

y^{^{'}} = \frac{3 x ^{4} + y ^{4}}{x y ^{3}}

f (x) = \frac{1}{5 + 3 x}, (- 1, \frac{1}{2})

\frac{d}{d x} (π 5 x cos (x))

\frac{d}{d x} (C e^{x})

\frac{\partial}{\partial x} (y ln (x^{2} + y^{2} + 4))

What is the derivative of ((3x+2/(x-1))^7) ?
The derivative of ((3x+2/(x-1))^7) is -(35(3x+2)^6)/((x-1)^8)
What is the first derivative of ((3x+2/(x-1))^7) ?
The first derivative of ((3x+2/(x-1))^7) is -(35(3x+2)^6)/((x-1)^8)