MTH 171 Lecture Notes - Lecture 18: United States Note, Maxima And Minima
Document Summary
4. 2 what derivatives tell us notes: sterling. Provide a generalization to each of the key terms listed in this section. When it comes to the decreasing/increasing test, you will normally deal with open intervals and the following: f (x) Decreasing f is decreasing on the interval i (if and only if) the following inequality is on an open interval: f (x) < 0. Increasing f is increasing on the interval i (if and only if) the following inequality is on an open interval: f (x) > 0. Local maximum f would actually have a local maximum at c i (if and only if) f is changing on the following process: Local minimum f would actually have a local maximum at c i (if and only if) f is changing on the following process: Concave downward f is concaving downward (or just concave downward ) on the interval i (if and only if) the following inequality is on an open interval:
