| 特殊类型函数高阶导数与原函数的统一公式 |
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| 引用本文： | 成立社. 特殊类型函数高阶导数与原函数的统一公式[J]. 大学数学, 2000, 0(3) |
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| 作者姓名： | 成立社 |
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| 作者单位： | 郑州工业大学数理力学系!河南郑州450002 |
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| 摘 要： | 本文通过研究几种特殊类型函数的高阶导数与原函数的求法 ,获得了由该类函数自身及其一阶导数的特征 ,即可快速写出该类函数的 n阶导数 y( n) 与原函数 y( - 1 ) 的统一公式 y( n) ( n=-1 ,1 ,2 ,3 ,… ) .该公式可给实际运算带来许多简化与方便 .
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| 关 键 词： | 导数 高阶导数 原函数 统一公式 |
An Universal Formula to Compute the Higher-Order Derivative and the Primary Function of Special Kinds of Functions |
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| CHENG Li she. An Universal Formula to Compute the Higher-Order Derivative and the Primary Function of Special Kinds of Functions[J]. College Mathematics, 2000, 0(3) |
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| Authors: | CHENG Li she |
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| Abstract: | In this paper, the higher order derivative and the primary function of several special kinds of function are investigated, we then obtain the characteristic of those functions and it's primary function. On the basis of this characteristic, we can quickly write out any order derivative y (n) including the primary function y (-1) according to an universal formula (n=-1,1,2,3,…) . This formula can simplify some particular computation. |
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| Keywords: | derivative higher order derivative primary function universal formula |
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