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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))`

Text Solution

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A
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