Consider the equation below. (If you need to use -AcˆA3 or AcˆA3, enter -INFINITY or INFINITY.)
f(x) = 2x3 + 3x2 - 180x
(a) Find the intervals on which f is increasing. Enter the interval that contains smaller numbers first.
Find the interval on which f is decreasing.
(b) Find the local minimum and maximum values of f.
(c) Find the inflection point.
Find the interval on which f is concave up.
Find the interval on which f is concave down.