| 对“关于曲线拐点判别法”一文中某些问题的探讨 |
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| 引用本文： | 田明. 对“关于曲线拐点判别法”一文中某些问题的探讨[J]. 天津科技大学学报, 2003, 0(Z1) |
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| 作者姓名： | 田明 |
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| 作者单位： | 中国民用航空学院理学院 天津 |
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| 摘 要： | 文[1]中给出了判别曲线上点是否为拐点的两个充分条件。然而两个定理的证明却是错误的。本文通过具体的反例阐述了其证明错误的原因,并且同时否定了其中的一个定理的推论,进而给出另外一定理的正确证明。
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| 关 键 词： | 拐点 导数 极值点 |
THE THEORETICAL ANALYSIS OF SOME ERROR REASONS FOR THE PAPER"ON THE METHODS OF JUDGING OF INFLECTION" |
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| TIAN Ming College of Science,Civil Aviation University of China,Tianjin ,China. THE THEORETICAL ANALYSIS OF SOME ERROR REASONS FOR THE PAPER"ON THE METHODS OF JUDGING OF INFLECTION"[J]. Journal of Tianjin University of Science & Technology, 2003, 0(Z1) |
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| Authors: | TIAN Ming College of Science Civil Aviation University of China Tianjin China |
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| Affiliation: | TIAN Ming College of Science,Civil Aviation University of China,Tianjin 300300,China |
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| Abstract: | In the paper[ 1 ] Two-sefficieney methods of Judging point of inflection are given. But theproof of two theorems have mistakes. In this paper, we analyse the error reasons through the counterexample, point out that the corollary of one theorem is uncorrect under some circumstance. And alsogive a correct proof of another theorem. |
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| Keywords: | point of inflection derivative point of value |
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