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

The derivative of 1/((1-2x^2)) is 4/((1-2x)^3)

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

The first derivative of 1/((1-2x^2)) is 4/((1-2x)^3)

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{d}{d x} (\frac{x ^{2} - 64}{x ^{2} + 64})

x \to 0 lim (\frac{\frac{4}{1 + x} - 4}{x})

\frac{\partial}{\partial x} (\frac{14 x}{7 x ^{2} + y ^{2} + 2})

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

\frac{7 s + 4}{2 s ^{2} + 16 s + 30}

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