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

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

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

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

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

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

Simplify

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

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

\frac{d}{d x} (4 cos (sin (3 x)))

y^{^{'''}} + y^{^{'}} = t^{2}

\frac{\partial}{\partial x} (x^{\frac{1}{3}} y^{3})

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

t \to 0 lim (\frac{sin ( 4 t )}{t})

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