Solveeit Logo
Login

Question

Question: If y = sin<sup>–1</sup>\(\frac{x}{2}\) + cos<sup>–1</sup>\(\frac{x}{2}\) then \(\frac{dy}{dx}\) is...

If y = sin–1x2\frac{x}{2} + cos–1x2\frac{x}{2} then dydx\frac{dy}{dx} is

A

0

B

21−x2\frac{2}{\sqrt{1 - x^{2}}}

C

π2\frac{\pi}{2}

D

None of these

Answer

0

Explanation

Solution

f(x) = sin–1x2\frac{x}{2} + cos–1x2\frac{x}{2} = π2\frac{\pi}{2}

f ′(x) = 0