Q2 of 147 Page 178

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

Given:

Let

Taking log on both sides, we get

Now, differentiate both sides with respect to x

Differentiate the following w.r.t. x:

cos (log x + e^x), x > 0

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

cos x . cos 2x . cos 3x

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

(log x)^{cos x}

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

x^x – 2^{sin x}