Q2 of 354 Page 12

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

Let y = x^{sin x}

Taking log both the sides:

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

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

Differentiating with respect to x:

Put the value of y = x^sin ^x :

If show that

Differentiate the following functions with respect to x :

x^1/x

Differentiate the following functions with respect to x :

(1 + cos x)^x

Differentiate the following functions with respect to x :

Differentiate the following functions with respect to x :xsin x