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

The derivative of (1/(1-2x))^3 is 6/((1-2x)^4)

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

The first derivative of (1/(1-2x))^3 is 6/((1-2x)^4)

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derivative of

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

\frac{6}{( 1 - 2 x ) ^{4}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

3 (\frac{1}{1 - 2 x})^{2} \frac{2}{( 1 - 2 x ) ^{2}} : \frac{6}{( 1 - 2 x ) ^{4}}

= \frac{6}{( 1 - 2 x ) ^{4}}

\int \frac{x ^{3} - 1}{x ^{3} + x} d x

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

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

\int (4 + x) d x

e^{\frac{1}{θ}}

What is the derivative of (1/(1-2x))^3 ?
The derivative of (1/(1-2x))^3 is 6/((1-2x)^4)
What is the first derivative of (1/(1-2x))^3 ?
The first derivative of (1/(1-2x))^3 is 6/((1-2x)^4)