[tex]f(x) = \frac{1}{3} {x}^{3} - {x}^{2} + 3 \\ 1)f'(x) = ( \frac{1}{ 3} {x}^{3} - {x}^{2} + 3) ' = {x}^{2} - 2x \\ 2) {x}^{2} - 2x = 0 \\ x(x - 2) = 0 \\ x = 0 \: \: \: \: \: x = 2 \\ 3)minf(x) = 2\\ maxf(x) = 0[/tex]