[Math4u] Re: Maxima & Minima

--- In Math4u@yahoogroups.com, "w7anf" <cherry@...> wrote:
>
> False, here is an example.
> f(x)=-x*(x-4)*(x^2-4*x+6), x not equal 2
> f(x) has maximas at x=1 and x=3.
> The minima should be at x=2, but the function does not exist
> at x=2. f(x) is differentiable at x=2.
> Jim FitzSimons
>
>
> --- In Math4u@yahoogroups.com, "sanjivadayal" <sanjivadayal@> wrote:
> >
> > Whether the following statement is true or false?
> > "If f(x) is a differentiable function, then there must be at least
> one
> > minima between two maximas".
> >
>Unless I misread your function f(2)=8 so it does exist and is a minima.

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