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1·This paper studies derivatives of higher order about product of three functions, and obtains a group dependent derivative formulas.

研究了三个函数乘积的高阶导数，得到了一组相应的导数公式。

2·This paper discusses another way, which is rewritten as product of a few contravariant vectors and covariant vectors, to define higher order tensors covariant derivative through transformations.

通过把高阶张量写成若干逆变和协变矢量的乘积，直接从变换入手，给出了定义高阶张量协变导数的另一种方法。

3·This paper is to discuss the higher-order derivative of many-variables abstract composite function, and to put forward the easy method to this type of questions through substitution.

对多元抽象复合函数的高阶求导进行了讨论，利用代换的思想，得到了对其进行高阶求导的简便易行的方法。