Q10 of 354 Page 12

Differentiate the following functions with respect to x :
10^{log sin x}

Let y = 10^{log sin x}

Taking log both the sides:

⇒ log y = log 10^{log sin x}

⇒ log y = log sin x log 10 {log x^a = alog x}

Differentiating with respect to x:

Put 10^{log sin x}:

Differentiate the following functions with respect to x :

e^{x log} ^x

Differentiate the following functions with respect to x :

(sin x)^{log x}

Differentiate the following functions with respect to x :

(log x)^{log x}

Differentiate the following functions with respect to x :

10^(10x)

Differentiate the following functions with respect to x :10log sin x