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

x = is a Select an answer Local Max Local Min Neither a max or min
x = is a Select an answer Local Max Local Min Neither a max or min
x = is a Select an answer Local Max Local Min Neither a max or min