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An absolute extremum may be positive, negative, or zero. Second, if a function f has an absolute extremum over an interval I at c, the absolute extremum is f(c). The real number c is a point in the domain at which the absolute extremum occurs. For example, consider the function f(x) = 1 / (x2 + 1) over the interval ( − ∞, ∞).
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 \(x=2\).
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展开 4个同名词条. extreme是一个 英语单词 ，可以用作 名词 和 形容词 ，作名词时意为“极端；末端；最大程度；极端的事物”。. 作形容词时意为“极端的；极度的；偏激的；尽头的 [1]”。. 外文名. extreme. 词 性. 名词、 形容词. 单词发音. 英 [ɪkˈstriːm] 美 ...
Example: finding the relative extremum points of f ( x) = x 2 x − 1. Step 1: Finding f ′ ( x) To find the relative extremum points of f , we must use f ′ . So we start with differentiating f : f ′ ( x) = x 2 − 2 x ( x − 1) 2. Show calculation. Step 2: Finding all critical points and all points where f is undefined.
extreme翻譯：極大的, 極大的；極度的；極端的, 糟糕的, 極嚴厲的;嚴重的;極差的, 信仰, （信仰或政黨）偏激的，過激的，極端的, 極點, 末端的，盡頭的;（尤指）離中心最遠的, 極度；極端…。了解更多。
