MATH 102 Lecture Notes - Lecture 6: Inflection Point, Inflection, Derivative Test
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MATH 102 Full Course Notes
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/near0~~-3 near & far from origin far0~~f consider behaviour. Interval : text is increasing when f) (x) > 0 positive values on decreasing @ f / (x) < 0. #i plug valves in between to find interval. X) at 1-2,0 ) v13 decreasing at 1- no. When f- 11 1=0 or dne f- (x) = # 4- 31 3-3 2 f / (x) = 3- z - b find when = 0. 2 = where f- 4 1=0 concavity : f- 1 1 is concave up when fill) is increasing f-"1 770 concave down when f- " cx) is decreasing f " / ko f- "1 1=3 2-21%-1-ake derivative. , 1 97 v1 "r x) avadra. ir formula f_=owhen = Root at 11 19 concave down ( 1 19, 1+5-197. Inflection point : change in concavity concave con , down up inflection point (cid:8869) - occurs at = c if fne .
