​ If y = sin^-1 {√1+x+√1-x/2} then dy/dx = ? ​A. -1/2√1-x^2 B. 1/2√1-x^2 C. 1/2√1+x^2 D. none of these

Question

If y = sin^-1\(\left\{\frac{\sqrt{1+x}+\sqrt{1-x}}{2}\right\}\) then dy/dx = ?

{√1+x+√1-x/2}

A. -1/2√1-x²

B. 1/2√1-x²

C. 1/2√1+x²

D. none of these

Answer 1

Answer is: A. -1/2√1-x²

Put x = cos2θ