What is the derivative of ln(ln(8s)) ?

The derivative of ln(ln(8s)) is 1/(sln(8s))

What is the first derivative of ln(ln(8s)) ?

The first derivative of ln(ln(8s)) is 1/(sln(8s))

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derivative of

ln (ln (8 s))

\frac{1}{s ln ( 8 s )}

Solution steps

\frac{d}{d s} (ln (ln (8 s)))

Apply the chain rule:

\frac{1}{ln ( 8 s )} \frac{d}{d s} (ln (8 s))

= \frac{1}{ln ( 8 s )} \frac{d}{d s} (ln (8 s))

\frac{d}{d s} (ln (8 s)) = \frac{1}{s}

= \frac{1}{ln ( 8 s )} \cdot \frac{1}{s}

Simplify

\frac{1}{ln ( 8 s )} \cdot \frac{1}{s} : \frac{1}{s ln ( 8 s )}

= \frac{1}{s ln ( 8 s )}

f (x) = 4 x^{4} - x^{6}

y = (6 x^{3} + 3 x + 1)^{10}

\int_{0}^{1} (x + y) d x

\int \frac{e ^{t} e ^{t} + 2}{e ^{t} + 6} d t

y^{^{''}} - 1 y^{^{'}} - 12 y = 0

What is the derivative of ln(ln(8s)) ?
The derivative of ln(ln(8s)) is 1/(sln(8s))
What is the first derivative of ln(ln(8s)) ?
The first derivative of ln(ln(8s)) is 1/(sln(8s))