What is the Differentiation of log log x ?

Solution :

We have, y = log ( log x )

By using chain rule in differentiation,

\(dy\over dx\) = \(1\over log x\).\(1\over x\)

\(\implies\) \(dy\over dx\) = \(1\over x log x\)

Hence, the differentiation of log log x with respect to x is \(1\over x log x\).


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