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

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

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

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

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derivative of

\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} )}

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