Q8 of 147 Page 178

Differentiate the functions given in w.r.t. x.
(sin x)^x + sin^–1 √x

Given:

Let y=

Let y = u + v

Taking log on both sides, we get

Now, differentiate both sides with respect to x

Because, y = u + v

Differentiate the functions given in w.r.t. x.

(log x)^x + x^{log x}

Differentiate the functions given in w.r.t. x.

x^{sin x} + (sin x)^{cos x}

Differentiate the functions given in w.r.t. x.

Differentiate the functions given in w.r.t. x.(sin x)x + sin–1 √x