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

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

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

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

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

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

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})^{- 1})

Apply the chain rule:

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

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

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

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

Simplify

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

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

y = 6 x - x^{2}

\int e^{t} t d t

y^{^{'}} sin (x) + y cos (x) = x sin (x)

x \to 1 lim (2 (x - 1))

\int_{- 2}^{0} x + 2 d x

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