What is the derivative of ln(2ln(x)) ?

The derivative of ln(2ln(x)) is 1/(xln(x))

What is the first derivative of ln(2ln(x)) ?

The first derivative of ln(2ln(x)) is 1/(xln(x))

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العربية

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{d}{d x} ((3 x + 1)^{4})

d er i v a t i v e \frac{1}{3 x}

\frac{d}{d x} (\frac{x - 3}{x + 3})

\int_{0}^{1} \frac{37}{4 y - 1} d y

\int_{0}^{3} arctan (x) d x

What is the derivative of ln(2ln(x)) ?
The derivative of ln(2ln(x)) is 1/(xln(x))
What is the first derivative of ln(2ln(x)) ?
The first derivative of ln(2ln(x)) is 1/(xln(x))