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Unformatted text preview: c , then ) ( c f can be classified as follows. (1) If ) ( x f changes from negative to positive at c , then f(c) is a relative minimum of f . (2) If ) ( x f changes from positive to negative at c , then f(c) is a relative maximum of f . (3) If ) ( x f does not change sign at c , then f(c) is neither a relative minimum nor a relative maximum. Example: Locate all relative extrema for . For the following functions find all relative extrema and the intervals where the function is increasing and decreasing. Also, determine whether the graph of the function will have a smooth curve or a cusp at each relative extremum. , on the interval –...
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 Spring '11
 PamelaSatterfield
 Calculus, Topology, Derivative, Continuous function, open interval

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