Consider the function f : (- ∞ , ∞) → (- ∞ , ∞) defined by f (x) = \frac{x^2-ax+1}{x^2+ax+1} , 0 < a < 2. Which of the following is true? [JEE Adv 2008 P2]

Correct Answer is : (2+a)2 f ′′(1) + (2−a)2 f ′′(-1) = 0

(2 + a)^2 f ′′(1) + (2 - a)^2 f ′′(-1) = 0

(2 - a)^2 f ′′(1) - (2 + a)^2 f ′′(-1) = 0

Differentiation

Section: Mathematics

Question : 7 of 9

Marks: +1, -0

Consider the function
f : (- ∞ , ∞) → (- ∞ , ∞) defined by f (x) =

x2−ax+1

x2+ax+1

, 0 < a < 2.
Which of the following is true?

[JEE Adv 2008 P2]

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