MATH 205 Lecture Notes - Lecture 17: Xi Xi, Maxima And Minima, Inflection Point
Document Summary
Proof let with function we have to show that. Xi xu a number c between x and x such theorem there is that and xz be any two numbers in. According to the definition of f xz the interval an increasing f lh 70. So by the mean value we know that f is is decreasing on. Now f"cc 0 by assumption and xz x. X 2 2 thus the right side of is positive the equation l: because so. Example find where the function fch 3 4 4 3 12 2 5 is increasing and where it is decreasing f txt _12 3 12 2 24 x f x. To use the increasing1 decreasing test know where solve these inequalities we first and l. X o 2 f lx 70 and where f"cx lo. To find where f x _o we have to l. F"lx f t t t t t t t t decrease on.
