Consider the function $f(x) = -2 x^3 + 30 x^2 - 96 x + 3$. This function has two critical numbers $A<B$:
$A =$
and $B =$
$f''(A)=$
$f''(B)=$
Thus $f(x)$ has a local at $A$ (type in MAX or MIN)
and a local at $B$ (type in MAX or MIN).