MATH 1550 : 1550 TEST 3 Review FA16
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9:30 class - 3. 10 linear approximation and differentials. 4. 1 extreme value thm: f(x) continuous on a closed interval [a,b] then f(x) has an absolute max and an absolute min. How to find: the absolute max and absolute min on a closed interval will occur either at an endpoint or a critical number. So 1. find the critical numbers on the interval [a,b] 2. find the value of the function at the critical points from step 1 and the value of the function at the endpoints endpoints ( f(a), f(b), etc) 3. the absolute max will be the largest of these values and the absolute min will be the smallest. P284 # 47-61 go to webassign and look at the video solutions. 4. 2& 4. 3 rolles thm and mean value thm. 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)
