Question

If y = sin^-1(x√(1 - x) + √x√(1 - x²)), then dy/dx is equal to

(A) - 2x/√(1 - x²) + 1/2√(x - x²)

(B) - 1/√(1 - x²) - 1/2√(x - x²)

(C) 1/√(1 - x²) + 1/2√(x - x²)

(D) None of these

Answer 1

Answer is (C) 1/√(1 - x²) + 1/2√(x - x²)