Home » Blog » Find the derivative of log (log (log x)) Find the derivative of log (log (log x)) by RoRi November 13, 2015 Find the derivative of the following function: Here we apply the chain rule (carefully), Related
![\[ f(x) = \log (\log (\log x)). \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-ea7b190af4fd3158a853925a60771952_l3.png "Rendered by QuickLaTeX.com")
![\begin{align*} f'(x) &= \frac{1}{\log (\log x)} (\log (\log x))' \\[9pt] &= \frac{1}{\log (\log x)} \left( \frac{1}{\log x} (\log x)' \right) \\[9pt] &= \frac{1}{\log (\log x)} \left( \frac{1}{x \log x} \right) \\[9pt] &= \frac{1}{x \log x (\log (\log x))}. \end{align*}](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-ea2fd08a39e803637e0980d1ce098763_l3.png "Rendered by QuickLaTeX.com")
[Log{log(log x)}]^2
[log(log(log x)]^2
Log(log(logx))