Question

For the function, 𝑓(𝑥) = 2𝑥
3 + 3𝑥
2 − 12x + 1, use the first and second derivatives of f(x) to
find the following. (3 points each)
a. Find the intervals on which f is increasing or decreasing.
b. Find the local maximum and minimum values of 𝑓(𝑥).
c. Find the intervals on which f is concave up and concave down.
d. Find any inflections points.
e. Find the maximum value of this function on [− 2,4].