MATH 1550 : Test 3 Review Part 2
Document Summary
4. 1extreme value thm: if is f(x) continuous on a closed interval [a,b] then f(x) has both an absolute max and an absolute min. How to find: the absolute max and absolute min on a closed interval will occur either at a endpoint or critical number. So 1. find the critical numbers on the interval [a,b] 2. find the value of the function at the critical points on the interval [a,b] from step 1, and the value of the function at the endpoints ( f(a), f(b), f(c), etc) 3. the absolute max will be the largest of these values and the absolute min will be the smallest. 4. 2 rolle"s thm and mean value thm p288 #"s 1,3,9-12,13-14,23,24. Rolle"s thm : let f(x) be a function that satisfies the following. 2) f(x) is differentiable on a open interval (a,b: f(a) = f(b) Then there is a number c in (a,b) such that f"(c)=0.
