For each function in below Problems:
(a) Find y'= f '(x).
(b) Find the critical values.
(c) Find the critical points.
(d) Find intervals of x-values where the function is increasing and where it is decreasing.
(e) Classify the critical points as relative maxima, relative minima, or horizontal points of
inflection. In each case, check your conclusions with a graphing utility.
1. y = 1/2x2 - x
2. y = x2 + 4x
3. y = x3/3 + x2+2 - 2x + 1
4. y = x4/4 - x3/3 -2
5. y = x2/3