Consider the function $f(x) = x^{2}e^{5 x}$.
This function has two critical numbers $A < B$:
$A =$
and $B =$
For each of the following intervals, tell whether $f'(x)$ is positive (type in $+$) or negative (type in $-$).
$(-\infty, A)$:
$(A,B)$:
$(B,\infty)$
Thus we conclude that $f(x)$ has a local at $A$ (type in MAX or MIN) and a local at $B$.