函数的连续性、可导性、可微性是高等数学中的重点和难点内容。一元函数可微与存在导数是等价的。而对于多元函数，偏导数即使都存在，该函数也不一定可微。
1.5 可微性 (Differentiability) ◎ 定义 1.5.1：若一个函数 ( ) y f x 在 x = a 处附近，存在实数 A 符合以下条件 (参 Fig 1.5.1)，则称之为可微 (different...
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右可微性 right differentiability
近似可微性 approximate differentiability
单侧可微性 one sided differentiability
近似全可微性 approximate total differentiability
非正常可微性 improper differentiability
连续可微性 continuous differentiability
弱可微性 [数] weak differentiability
局部可微性 local differentiability
次可微性 subdifferentiability
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证明了该过程的局部时的存在性、联合连续性和可微性。
The existence, joint continuity and differential of local times of this process are shown.
本文引进了连续可微和均匀连续可微两个新的可微性概念。
Two new notions of continuous differentiability and uniformly continuous differentiability are introduced in this paper.
最终讲明白连续性和可微性之间的区别的例子是由他给出的。
The example that ultimately drove home the distinction between continuity and differentiability was given by him.
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