| 函数极值点与拐点的一种判别法 |
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| 引用本文： | 林荣斐,林炳江.函数极值点与拐点的一种判别法[J].内蒙古师范大学学报(自然科学版),2009,38(4):400-402. |
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| 作者姓名： | 林荣斐 林炳江 |
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| 作者单位： | 台州学院,数学与信息工程学院,浙江,临海,317000 |
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| 基金项目： | 浙江省自然科学基金资助项目 |
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| 摘 要： | 给出函数极值点与拐点的一种判别方法.在一定条件下,根据f(n)(x)在x0的某去心邻域U0-(x0)和U0+(x0)符号的异同,判断点x0是否曲线y=f(x)的极值点,或点(x0,f(x0))是否曲线y=f(x)的拐点,并说明了极值点与拐点的不重合性.
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| 关 键 词： | 极值点 拐点 连续函数 判别法 |
The Judging Methods of Extreme Point and Inflection Point |
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| LIN Rong-fei,LIN Bing-jiang.The Judging Methods of Extreme Point and Inflection Point[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2009,38(4):400-402. |
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| Authors: | LIN Rong-fei LIN Bing-jiang |
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| Institution: | School of Mathematics and Information Engineering;Taizhou University;Linhai 317000;Zhejiang;China |
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| Abstract: | A new way is presented to judge whether x 0 is the extreme point or an inflection point of a curve y=f(x).Under the certain condition,we use the sign of f(x) in U 0-(x 0) and U 0 +(x 0) to judge whether a curve y=f(x) has extreme value on x 0 or(x 0,f(x 0) is an inflection point of y=(f(x).We also explain the non-coincidence of the extreme point and the inflection point of y=(f(x). |
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| Keywords: | extreme point inflection point continuous function judging method |
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