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Application of Derivatives

Section: Mathematics

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Question : 27

Total: 32

Let f be a function defined on R (the set of all real numbers) such that f ′(x) =

2010(x−2009)(x−2010)2(x−2011)3(x−2012)4

, for all x ∈ R. If g is a function defined on R with values in the interval (0, ∞) such that f (x) = ln (g(x)), for all x ∈ R, then the number of points in R at which g has a local maximum is

[JEE Adv 2010 P2]

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