Q6 of 354 Page 12

Differentiate the following functions with respect to x :
(log x)^{cos x}

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

Taking log both the sides:

⇒ log y = log (log x)^{cos x}

⇒ log y = cos x log log x {log x^a = alog x}

Differentiating with respect to x:

Put (log x)^{cos x}:

Differentiate the following functions with respect to x :

(log x)^x

Differentiate the following functions with respect to x :

(sin x)^{cos x}

Differentiate the following functions with respect to x :

e^{x log} ^x

Differentiate the following functions with respect to x :(log x)cos x