What is the derivative of (9x-1^{-2}) ?

The derivative of (9x-1^{-2}) is -(18)/((9x-1)^3)

What is the first derivative of (9x-1^{-2}) ?

The first derivative of (9x-1^{-2}) is -(18)/((9x-1)^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} ((9 x - 1)^{- 2})

- \frac{18}{( 9 x - 1 ) ^{3}}

Solution steps

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

Apply the chain rule:

- \frac{2}{( 9 x - 1 ) ^{3}} \frac{d}{d x} (9 x - 1)

= - \frac{2}{( 9 x - 1 ) ^{3}} \frac{d}{d x} (9 x - 1)

\frac{d}{d x} (9 x - 1) = 9

= - \frac{2}{( 9 x - 1 ) ^{3}} \cdot 9

Simplify

- \frac{2}{( 9 x - 1 ) ^{3}} \cdot 9 : - \frac{18}{( 9 x - 1 ) ^{3}}

= - \frac{18}{( 9 x - 1 ) ^{3}}

\int \frac{x ^{2}}{e ^{x + 1}} d x

\frac{d}{d x} (x^{\frac{1}{5}} (x + 6))

\int p^{4} ln (p) d p

3 \frac{d x}{d t} - 6 x = sin (2 t), x (0) = 1

\frac{d}{d x} (\frac{x}{y})

What is the derivative of (9x-1^{-2}) ?
The derivative of (9x-1^{-2}) is -(18)/((9x-1)^3)
What is the first derivative of (9x-1^{-2}) ?
The first derivative of (9x-1^{-2}) is -(18)/((9x-1)^3)