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

The derivative of-1/((1-x^2)) is -2/((1-x)^3)

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

The first derivative of-1/((1-x^2)) is -2/((1-x)^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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