Differentiate each of the following w.r.t x:

If . Prove that .

Given: Value of

To Prove:

The formula used: (i)

(ii)

Let x = cos2θ

2θ = cos^-1x

θ = cos^-1x

Putting x = cos2θ

Dividing by cosθ in the numerator and denominator

Now Differentiating