What is the derivative of ((x-2/(2x+1))^9) ?

The derivative of ((x-2/(2x+1))^9) is (45(x-2)^8)/((2x+1)^{10)}

What is the first derivative of ((x-2/(2x+1))^9) ?

The first derivative of ((x-2/(2x+1))^9) is (45(x-2)^8)/((2x+1)^{10)}

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}{2 x + 1})^{9})

\frac{45 ( x - 2 ) ^{8}}{( 2 x + 1 ) ^{10}}

Solution steps

\frac{d}{d x} ((\frac{x - 2}{2 x + 1})^{9})

Apply the chain rule:

9 (\frac{x - 2}{2 x + 1})^{8} \frac{d}{d x} (\frac{x - 2}{2 x + 1})

= 9 (\frac{x - 2}{2 x + 1})^{8} \frac{d}{d x} (\frac{x - 2}{2 x + 1})

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

= 9 (\frac{x - 2}{2 x + 1})^{8} \frac{5}{( 2 x + 1 ) ^{2}}

Simplify

9 (\frac{x - 2}{2 x + 1})^{8} \frac{5}{( 2 x + 1 ) ^{2}} : \frac{45 ( x - 2 ) ^{8}}{( 2 x + 1 ) ^{10}}

= \frac{45 ( x - 2 ) ^{8}}{( 2 x + 1 ) ^{10}}

x \to 3 lim (\frac{x - 3}{x - 3})

\int ln (3 x + 5) d x

f (x) = 2 x^{2} - 5 x + 3

\frac{d}{d x} ((a x^{2} + b x + c) e^{\frac{- x}{2}})

\frac{1}{3 s ^{2}} - \frac{5}{4 s ^{3}}

What is the derivative of ((x-2/(2x+1))^9) ?
The derivative of ((x-2/(2x+1))^9) is (45(x-2)^8)/((2x+1)^{10)}
What is the first derivative of ((x-2/(2x+1))^9) ?
The first derivative of ((x-2/(2x+1))^9) is (45(x-2)^8)/((2x+1)^{10)}