What is the derivative of ln(ln(10x)) ?

The derivative of ln(ln(10x)) is 1/(xln(10x))

What is the first derivative of ln(ln(10x)) ?

The first derivative of ln(ln(10x)) is 1/(xln(10x))

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\frac{d}{d x} (ln (ln (10 x)))

\frac{1}{x ln ( 10 x )}

Solution steps

\frac{d}{d x} (ln (ln (10 x)))

Apply the chain rule:

\frac{1}{ln ( 10 x )} \frac{d}{d x} (ln (10 x))

= \frac{1}{ln ( 10 x )} \frac{d}{d x} (ln (10 x))

\frac{d}{d x} (ln (10 x)) = \frac{1}{x}

= \frac{1}{ln ( 10 x )} \cdot \frac{1}{x}

Simplify

\frac{1}{ln ( 10 x )} \cdot \frac{1}{x} : \frac{1}{x ln ( 10 x )}

= \frac{1}{x ln ( 10 x )}

y^{^{'}} + (\frac{4}{x}) y = x^{4}

x \to - 2 lim (tan (\frac{π x}{4}))

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

\frac{d}{d x} (5 x^{4} - 2 x^{3} - x^{2})

\int 16 sin^{2} (x) d x

What is the derivative of ln(ln(10x)) ?
The derivative of ln(ln(10x)) is 1/(xln(10x))
What is the first derivative of ln(ln(10x)) ?
The first derivative of ln(ln(10x)) is 1/(xln(10x))