Find critical points, end points, local extrema and global extrema.
For the function f(x) = f(x) = x3-3x2 ( -1 < x < 3 ) do the following:
(a) Find f' and f".
(b) Find the critical points of f.
(c) Find any inflection points of f.
(d) Evaluate f at its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of f in the interval.
(e) Graph f.