Question

Find derivative of following functions w.r.t. x :

(i) sin^-1{2x√(1 - x²)}, -1/2 < x < 1/2

(ii) sin^-1(3x - 4x³), x ∈ (-1/2, 1/2)

Answer 1

(i) sin^-1{2x√(1 - x²)}