Practice08: Problem 3
For the function f(x) = -2x^3 + 54x + 12,
(a) Find all intervals where the function is increasing.
Answer: f is increasing on
(b) Find all intervals where the function is decreasing.
Answer: f is decreasing on
(c) Find all critical points of f(x).
Answer: critical points: x = 3,-3
Instructions:
For parts (a) and (b), give your answer as an interval or a union of intervals, such as (-infinity,8] or (1,5) U (7,10).
For part (c), enter your x-values as a comma-separated list, or none if there are no critical points.