CAJ | 학술논문

通过分析一类较为复杂函数的导数与其自身的结构特征，获得了由该类函数的一阶导数及其自身的结构特征，在不需要任何分析运算条件下，即可快速准确推知该类函数的原函数及其高阶导数的结果.研究结果表明：高阶导数与原函数这对互逆运算在该类函数中可实现统一.利用该结果可给实际运算带来许多简化与方便.
통과분석일류교위복잡함수적도수여기자신적결구특정，획득료유해류함수적일계도수급기자신적결구특정，재불수요임하분석운산조건하，즉가쾌속준학추지해류함수적원함수급기고계도수적결과.연구결과표명：고계도수여원함수저대호역운산재해류함수중가실현통일.이용해결과가급실제운산대래허다간화여방편.
In this paper,through analyzing the structural features of a kind of ralatively complicated functions' derivative and of this kind function itself,we deduce quickly and accurately the consequences of some kinds of functions' primary functions and their higher-order derivatives,without any analysis and opreation.The consequences of this research show that the higher-order derivative and its primary function,the two-way transformed counterparts,can be practically unified.Utilization of the consequences may just bring a lot of simplicity and conveniences in practical operation.