Chapter 4.3

Definitions and Tests:

    Inflection Point:  A point P on a curve at which the curve changes from concave upward to concave downward or from concave downward to concave upward.

    Increasing/Decreasing Test: 

If f ‘(x) > 0 on an interval, then f(x) is increasing on that interval.

If f ‘(x) < 0 on an interval, then f(x) is decreasing on that interval

   First Derivative Test: 

            Suppose c is a critical number of a continuous function f

            If f ‘ changes from positive to negative at c, then there is a local max at c

            If f ‘ changes from negative to positive at c, then there is a local min at c