What is the derivative of F(s)=ln(ln(6s)) ?

The derivative of F(s)=ln(ln(6s)) is 1/(sln(6s))

What is the first derivative of F(s)=ln(ln(6s)) ?

The first derivative of F(s)=ln(ln(6s)) is 1/(sln(6s))

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derivative of

F (s) = ln (ln (6 s))

\frac{1}{s ln ( 6 s )}

Solution steps

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

Apply the chain rule:

\frac{1}{ln ( 6 s )} \frac{d}{d s} (ln (6 s))

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

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

= \frac{1}{ln ( 6 s )} \cdot \frac{1}{s}

Simplify

\frac{1}{ln ( 6 s )} \cdot \frac{1}{s} : \frac{1}{s ln ( 6 s )}

= \frac{1}{s ln ( 6 s )}

What is the derivative of F(s)=ln(ln(6s)) ?
The derivative of F(s)=ln(ln(6s)) is 1/(sln(6s))
What is the first derivative of F(s)=ln(ln(6s)) ?
The first derivative of F(s)=ln(ln(6s)) is 1/(sln(6s))