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

The derivative of 2/((1-2x^2)) is 8/((1-2x)^3)

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

The first derivative of 2/((1-2x^2)) is 8/((1-2x)^3)

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

\frac{8}{( 1 - 2 x ) ^{3}}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply exponent rule:

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

= 2 \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

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

Simplify

2 (- \frac{2}{( 1 - 2 x ) ^{3}} (- 2)) : \frac{8}{( 1 - 2 x ) ^{3}}

= \frac{8}{( 1 - 2 x ) ^{3}}

\int \frac{2 x ^{4} + 1}{5 x ^{3}} d x

\frac{d}{d x} ((x sinh (x) + cos (x))^{5})

\int x sin (\frac{1}{10}) x d x

\int_{0}^{1} 2 π (x + 9) x^{2} d x

(1 + y) d x - (1 - x) d y = 0

What is the derivative of 2/((1-2x^2)) ?
The derivative of 2/((1-2x^2)) is 8/((1-2x)^3)
What is the first derivative of 2/((1-2x^2)) ?
The first derivative of 2/((1-2x^2)) is 8/((1-2x)^3)