If
\[
f(x)=x^{3}-10x^{2}+31x-30
\]
is a real valued function, then the number of values of \(c\), as stated in Rolle's theorem, that lie in the interval \((2,5)\) is
Show Hint
If
\[
f(a)=f(b),
\]
and \(f\) is continuous on
\[
[a,b]
\]
and differentiable on
\[
(a,b),
\]
then Rolle's theorem guarantees at least one point
\[
c\in(a,b)
\]
such that
\[
\boxed{f'(c)=0.}
\]