Let `f`
be a function defined on `R`
(the set of all real numbers) such that `f^(prime)(x)=2010(x-2009)(x-2010)^2(x-2011)^3(x-2012)^4,`
for all `x in Rdot`
If `g`
is a function defined on `R`
with values in the interval `(0,oo)`
such that `f(x)=ln(g(x)),`
for all `x in R ,`
then the number of point is `R`
at which `g`
has a local maximum is ___