Let f be a function defined on R 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

Let f be a function defined on R such that f'(x)=2010(x−2009)(x−20

1.	Let f be a function defined on R 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
Answer» Let $f$ be a function defined on $R$ such that $f' (x) = 2010 (x - 2009) (x - 2010)^{2}$ $(x - 2011)^{3} (x - 2012)^{4},$ for all $x \in R .$ If $g$ is a function defined on $R$ with values in the interval $(0, \infty)$ such that $f (x) = ln (g (x))$ for all $x \in R$ , then the number of points in $R$ at which $g$ has a local maximum is