front 1 f is increasing | back 1 positive |
front 2 f is decreasing | back 2 negative |
front 3 f has a local max | back 3 f' changes from + to - 0 or dne if f'x=0 then f''x=- |
front 4 f has a local min | back 4 f' changes from - to + 0 or dne |
front 5 f is concave up | back 5 f' is increasing |
front 6 f is concave down | back 6 f' is decreasing |
front 7 f has an inflection point | back 7 f'(x) has relative max/min |