Find the critical numbers of the function $\displaystyle {f{{\left({x}\right)}}}=-{4}{x}^{{5}}+{25}{x}^{{4}}+{20}{x}^{{3}}-{4}$ and classify them using a graph.

$\displaystyle {x}$ = is a Select an answer Local Max Local Min Neither a max or min
$\displaystyle {x}$ = is a Select an answer Local Max Local Min Neither a max or min
$\displaystyle {x}$ = is a Select an answer Local Max Local Min Neither a max or min