If y=tan^(-1)sqrt(x^(2)-1), then the rat...

If `y=tan^(-1)sqrt(x^(2)-1)`, then the ratio `(d^(2)y)/(dx^(2)):(dy)/(dx)=`

A

`(1+2x^2)/(x(x^2+1)`

B

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

C

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

D

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

Verified by Experts

The correct Answer is:

D

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