For the function below, I have to find the exact values of x for which relative extreme exist and the exact values of x for which points of inflection exist. [tex]f(x) = 1x/2 - sin(x)[/tex] when x is in the interval [tex](0,2pi)[/tex] Here's what I have: [tex]f'x = 1/2 - cos(x) = 0[/tex] (I'm not sure how to solve for x in this spot) Also, for the finding the inflection points, I have this: [tex]f"x = sin(x) = 0[/tex] [tex]x = 0/sin = 0[/tex] (This right? Or did I screw up before this?) I guess my troubles are based around the basic trig functions as well as algebra. I'm in the process of moving, so my algebra book will be hard to find; however, I'm about to start looking. Any help to point me in the right direction would be fantastic. Thanks.