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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, 8) 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?

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, 8) 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?

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1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
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