二元函数可导性与可微性的探讨

Discussion on Derivability and Differentiability of Binary Function

二元函数的可导和可微是微积分的一个重点也是一个难点,在教学过程中发现学生二元函数的连续,可导与可微的关系掌握的不是很好。通过具体实例给出了二元函数的极限、连续、可导与可微的关系,可以更多地解决二元函数可导与可微的相关问题。

The derivability and differentiability of binary function is a key point and a difficulty of calculus.In the teaching pro⁃cess,it is found that the relationship between the continuity,derivability and differentiability of binary function is not well grasped by students.In this paper,the relationship between the limit,continuity,derivability and differentiability of binary function is given through specific examples,which can help students to solve more problems related to the derivability and differentiability of binary func⁃tion.