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

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

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

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

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

x \to \infty lim (- ln (x))

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

\int \frac{4 x}{x ^{2} - 16} d x

y = x^{2}, y = x

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