Question

Differentiate the following function with respect to x :

(log x)^{log x}

Answer 1

Let y = (log x)^{log x}

Taking log both the sides:

⇒ log y = log (log x)^{log x}

⇒ log y = log x log (log x) {log x a = a log x}

Differentiating with respect to x: