Draw the graph of f(x) =  − x2 + 3x + 3 in the window [−2, 6] by [−10, 20]. It has an infl...

Draw the graph of f(x) =  − x2 + 3x + 3 in the window [−2, 6] by [−10, 20]. It has an inflection point at x = 2, but no relative extreme points. Enlarge the window a few times to convince yourself that there are no relative extreme points anywhere. What does this tell you about f′(x)?