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
