摘要
对于k阶可导函数,利用拉格朗日中值定理,证明了函数的k阶导数与函数值之间的关系;对于s阶可导函数(s>k),证明了函数的s-k阶导数值与函数的s阶导数之间的关系.给出了常见的k=2,k=3,k=4对应的定理及其证明.
To the functions k-th derived,the relation between the values of the functions and the value of the k-th derived functions has been proved suing the lagrange mean value theorem. To the functions s-th derived (s>k) ,the relation between the values of the (s - k)-th derived functions and the value of the k-th derived functions has been given. To the situations k =2,3,4, according to the theorem above, the corresponding theorems have been given and proved.
出处
《纺织高校基础科学学报》
CAS
2003年第4期294-297,共4页
Basic Sciences Journal of Textile Universities
关键词
高阶导数
中值定理
微分
higher derivative
the generalized mean value theorem
differential
