Let f be a real-valued function defined on the interval (−1, 1) such that e^{-x} f (x) = 2+ \int^{x}_{0} \sqrt{t^4+1}dt, for all x ∈ (-1, 1) and let f^{-1} be the inverse function of f. Then, (f^{-1})'(2) is equal to [JEE Adv 2010 P2]

Definite Integration

Section: Mathematics

Question : 39 of 46

Marks: +1, -0

Let f be a real-valued function defined on the interval (−1, 1) such that e−x f (x) = 2+

∫

√t4+1dt, for all x ∈ (-1, 1) and let f−1 be the inverse function of f. Then, (f−1)′(2) is equal to

[JEE Adv 2010 P2]

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