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Unformatted text preview: Theorem 3.2 Relative minimums/maximums occur only at critical numbers. At relative min/maxs, the derivative is either 0 or undefined. Critical Numbers Critical Numbers Let f be defined at c. If f ’(c) = 0 or if f ‘ is undefined at c, then c is a critical number of c. Finding Extrema On a Closed Interval Finding Extrema On a Closed Interval (1) Find the critical #s of f in (a , b). (2) Evaluate f at each critical # in (a , b). (3) Evaluate f at each endpoint of [a , b]. (4) The least of these values is the minimum. The greatest is the maximum. Joke Time Joke Time What kind of undergarment does Little Mermaid wear? an Algebra Why did the man sleep with a ruler? to see how long he could sleep...
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 Fall '08
 JARVIS
 Calculus, Topology, Critical Point, #, Graph of a function

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