摘要
多元函数微分学是高等数学教学的重点之一,理清其基本概念之间的相互关系对于认识多元函数的性态具有重要的意义。通过两个命题的证明及反例的构造,阐述多元函数微分学中几个重要概念之间的相互关系。
Multi-variable differential calculus is one of the keys in the teaching of advanced mathematics.It is of great significance for knowing the condition of multi-variable to find out the relationship of basic concepts of advanced mathematics.Through the manifestation of two propositions and the framework of counter examples,the article elaborates on the relationship of several important concepts in multi-variable differential calculus.
关键词
多元函数
偏导数
方向导数
可微
Multi-variable function
Partial differential coefficient
Directional derivatives
Differentiability
