Compute the derivative of log (log x)

by RoRi

November 1, 2015

Compute the derivative of

$f(x) = \log(\log x).$

Using the chain rule we have,

$\begin{align*} f'(x) &= \left( \frac{1}{\log x} \right) \left(\frac{1}{x} \right) \\ &= \frac{1}{x \log x}. \end{align*}$

Stumbling Robot