Q. 55.0( 1 Vote )

# Differentiate the following functions with respect to x :

(log x)^{x}

Answer :

Let y = (log x)^{x}

Taking log both the sides:

⇒ log y = log (log x)^{x}

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

Differentiating with respect to x:

Put (log x)^{x}

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