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Popular Calculus >

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

Solution

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

Solution

\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}}

Graph

Popular Examples

integral from 0 to 1 of x/((x+1)(x^2+1))

\int_{0}^{1} \frac{x}{( x + 1 ) ( x ^{2} + 1 )} d x

integral of x(x-5)^2

\int x (x - 5)^{2} d x

derivative of f(x)=(x^3)/(24)+2/x

d er i v a t i v e f (x) = \frac{x ^{3}}{24} + \frac{2}{x}

integral from 1 to 2 of 1/(sqrt(4-t^2))

\int_{1}^{2} \frac{1}{4 - t ^{2}} d t

tangent of-3x^2+2xy+2y^3=125,(3,4)

t an g e n t - 3 x^{2} + 2 x y + 2 y^{3} = 125, (3, 4)

Frequently Asked Questions (FAQ)

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)