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Differentiation

Section: Mathematics

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Question : 7

Total: 9

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

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

[JEE Adv 2008 P2]

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

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