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Unformatted text preview: the graph of f , then either f ’’ (c) = 0 or f ’’ is undefined at x = c • To locate possible points of inflection, determine the values of x for which f ’’(x) = 0 or is undefined. 2 nd Derivative Test Let f be a function such that f ’’(c) = 0 and the 2 nd derivative of f exists on an open interval containing c . 1. If f ’’(c) > 0, then f(c) is a relative minimum. 2. If f ’’(c) < 0, then f(c) is a relative maximum. If f ’’(c) = 0, the test fails. In such cases, you can use the 1 st Derivative Test. Joke Time What do you do if you are outside during a thunderstorm? coincide Why do lumberjacks make good musicians? because of their natural logarithms...
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 Fall '08
 JARVIS
 Calculus, Derivative, Convex function, Concave function

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