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22 de nov. de 2009 · Music video by Extreme performing Get The Funk Out. (C) 2004 A&M Records
5.5.1 Relative Extrema. ¶. A relative maximum point on a function is a point (x, y) on the graph of the function whose y -coordinate is larger than all other y -coordinates on the graph at points “close to” (x, y). More precisely, (x, f(x)) is a relative maximum if there is an interval (a, b) with a < x < b and f(x) ≥ f(z) for every z in ...
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All local extrema are points at which the derivative is zero (though it is possible for the derivative to be zero and for the point not to be a local extrema). While they can still be endpoints (depending upon the interval in question), the absolute extrema may be determined with a few shortcuts, too. These are the derivative tests.
The maximum and minimum values are the extreme values, or extrema, of f on I. The extreme values of a function are " y '' values, values the function attains, not the input values. Consider Figure 3.1.1. The function displayed in (a) has a maximum, but no minimum, as the interval over which the function is defined is open.
The extreme value theorem cannot be applied to the functions in graphs (d) and (f) because neither of these functions is continuous over a closed, bounded interval. Although the function in graph (d) is defined over the closed interval \([0,4]\), the function is discontinuous at \(x=2\).
extreme adj. (farthest) extremo/a adj. The researcher wanted to study the weather in the extreme north. El investigador quería estudiar el clima en el norte extremo. extreme adj. (immoderate) extremo/a adj. Tim's style was rather extreme, with a lot of piercings and leather.
