1.

Let f(x) be a function defined on R such that f(x)=2010(x-2009)(x-2010)^(2)(x-2011)^(3)(x-2012)^(4) for allx inR . If g is a function defined on R with values in (0,oo) such that f(x) =ln (g(x)) for all xinR. The number of thepoints in R at which g has a local maximum is ........

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