(Solved): Question II. (2) (4 pts) In this problem we find the absolute maximum and the absolute minimum for ...

Question II. (2) (4 pts) In this problem we find the absolute maximum and the absolute minimum for the function f(x) = x³ ? 6x² +1 over the interval [-1,6]. Step One. Compute f'(x). • Step Two. List all the critical points of f within [-1,6]. (Hint: there are two such points.) Step Three. Find the values of f at the critical points and the values at the endpoints. • Step Four. Write down your conclusion regarding the absolute maximum and the absolute minimum of f over [-1, 6].