Q 2813767649.     If `y = sin^(-1) ( sqrt(1 + x) + sqrt (1 - x) )/2 ` , then ` (dy)/(dx)` is equal to

A

`1/sqrt(1 - x^2)`

B

`- 1/sqrt(1 - x^2)`

C

`- 1/(2 sqrt(1 - x^2))`

D

None of these

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