What is (\partial)/(\partial x)(ln(1-2x)) ?

The answer to (\partial)/(\partial x)(ln(1-2x)) is -2/(1-2x)

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(\partial)/(\partial x)(ln(1-2x))

\frac{\partial}{\partial x} (ln (1 - 2 x))

- \frac{2}{1 - 2 x}

Solution steps

\frac{\partial}{\partial x} (ln (1 - 2 x))

Apply the chain rule:

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

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

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

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

Simplify

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

= - \frac{2}{1 - 2 x}

What is (\partial)/(\partial x)(ln(1-2x)) ?
The answer to (\partial)/(\partial x)(ln(1-2x)) is -2/(1-2x)