If f:R to R is defined by f(x)=(x^(2)-...

If `f:R to R` is defined by
`f(x)=(x^(2)-ax+1)/(x^(2)+ax+1),0ltalt2`, the which of the following is true:

A

`(2+a)^2f''(1)+(2-a)^2f''(-1)=0`

B

`(2-a)^2f''(1)-(2+a)^2f''(-1)=0`

C

`f'(1)f'(-1)=(2-a)^2`

D

`f'(1)f'(-1)=-(2+a)^2`

Verified by Experts

The correct Answer is:

A

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