What is the derivative of sqrt(ln(6x)) ?

The derivative of sqrt(ln(6x)) is 1/(2xsqrt(ln(6x)))

What is the first derivative of sqrt(ln(6x)) ?

The first derivative of sqrt(ln(6x)) is 1/(2xsqrt(ln(6x)))

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\frac{d}{d x} (ln (6 x))

\frac{1}{2 x ln ( 6 x )}

Solution steps

\frac{d}{d x} (ln (6 x))

Apply the chain rule:

\frac{1}{2 ln ( 6 x )} \frac{d}{d x} (ln (6 x))

= \frac{1}{2 ln ( 6 x )} \frac{d}{d x} (ln (6 x))

\frac{d}{d x} (ln (6 x)) = \frac{1}{x}

= \frac{1}{2 ln ( 6 x )} \cdot \frac{1}{x}

Simplify

\frac{1}{2 ln ( 6 x )} \cdot \frac{1}{x} : \frac{1}{2 x ln ( 6 x )}

= \frac{1}{2 x ln ( 6 x )}

\int \frac{2}{v} d v

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\int x - x + 2 d x

\frac{\partial}{\partial y} (12 y - 5 x cos (y))

3 x + 2

What is the derivative of sqrt(ln(6x)) ?
The derivative of sqrt(ln(6x)) is 1/(2xsqrt(ln(6x)))
What is the first derivative of sqrt(ln(6x)) ?
The first derivative of sqrt(ln(6x)) is 1/(2xsqrt(ln(6x)))