Comments and Research on Proofs of Chain Rule

Chinese Quarterly Journal of Mathematics ›› 2001, Vol. 16 ›› Issue (3): 100-104.

Comments and Research on Proofs of Chain Rule

杭州电子工业学院数学系浙江杭州310012

Received:1995-08-12 Online:2001-09-30 Published:2024-06-05
About author:ZHANG Tong（1926－）,male,native of Shengzhou,Zhejiang,a lecturer of Hangzhou Institute of Electronic Engineering,engages in calculus theory．

Abstract

Abstract: 本文指出了一些广泛使用的教科书对复合函数求导定理的证明是不严格的 ,并创造性地举例阐明存在这样的复合函数 f(u) ,它对自变量u可导 ,而对中间变量u =g(x)不可导 .本文也给出了该定理的一个严格证明 ,同时揭示了复合函数求导法则的表达形式与其内容并不完全一致.

Key words: , 链式法则, 证明, 不严格, ,

CLC Number:

O172

ZHANG Tong . Comments and Research on Proofs of Chain Rule[J]. Chinese Quarterly Journal of Mathematics, 2001, 16(3): 100-104.

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Comments and Research on Proofs of Chain Rule

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