What are the critical points of $f(x) = 2 x^{3} - 9 x^{2} + 12 x + 3$?

Explanation

1. 01

   Critical points are where $f'(x) = 0$: $f'(x) = 6 \left(x - 2\right) \left(x - 1\right)$.

2. 02

   So $x = 1, 2$.