Differentiate the following w.r.t x: cos^-1(2x) + 2 cos^-1 √(1 - 4x^2)

Question

Differentiate the following w.r.t x: cos^-1(2x) + 2cos^-1\(\sqrt{1-4\text x^2}\)

cos^-1(2x) + 2 cos^-1 √(1 - 4x²)

Answer 1

To find: Value of  cos^-1(2x) + 2cos^-1\(\sqrt{1-4\text x^2}\)

The formula used: (i) cos θ  = sin\(\left(\cfrac\pi2-\theta\right)\)