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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{1}{( 1 - x )}

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

3 x + 7

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

\frac{d}{d x} (e^{x} sin (6 x))

y = (- 4) + x^{2}, (1, - 3)

\int x^{2} x + 3 d x

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