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Popular >

derivative of (1-x^2^{-2})

Solution

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

Solution

\frac{4 x}{( 1 - x ^{2} ) ^{3}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

- \frac{2}{( 1 - x ^{2} ) ^{3}} (- 2 x) : \frac{4 x}{( 1 - x ^{2} ) ^{3}}

= \frac{4 x}{( 1 - x ^{2} ) ^{3}}

Graph

Popular Examples

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y^{^{''}} + 5 y^{^{'}} + 6 y = 0, y (0) = 1, y^{^{'}} (0) = 0

(\partial)/(\partial x)(x^{y^x})

\frac{\partial}{\partial x} (x^{y^{x}})

integral of 1/(x^2+64)

\int \frac{1}{x ^{2} + 64} d x

tangent of y=2x^3-x^2+2 tangent of

y = 2 x^{3} - x^{2} + 2

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\int \frac{e ^{x^{n}}}{x ^{1 - n}} d x

Frequently Asked Questions (FAQ)

What is the derivative of (1-x^2^{-2}) ?
The derivative of (1-x^2^{-2}) is (4x)/((1-x^2)^3)
What is the first derivative of (1-x^2^{-2}) ?
The first derivative of (1-x^2^{-2}) is (4x)/((1-x^2)^3)