高阶导数与原函数统一性的研究

Study on the Unity of the Higher-order Derivation & Primary Function

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

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.