Recall that a maximum (and a minimum) is defined as a y-value, and that y-value must exist.
What does that mean about the maximum of
To find the minimum values and the point of inflection, you will need to examine f '(x) and f ''(x), and then find their respective zeros. Remember that we are only considering the the domain −2π ≤ x ≤ 2π.
Use the eTool below to solve the problem.
Click the link at right for the full version of the eTool: Calc 4-167 HW eTool