If y =sin^(-1) ((sqrt(1+x)+sqrt(1-x))/2)...

If `y =sin^(-1) ((sqrt(1+x)+sqrt(1-x))/2)`, Then the value of `(dy)/(dx)` at x=0 is

A

`sqrt14`

B

`sqrt6`

C

`49/36`

D

`4sqrt10`

Verified by Experts

The correct Answer is:

D

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