摘要
针对学生在复合函数求导过程中容易混淆df[g(x)]/dx、f′[g(x)]和f′[g′(x)]三种类型求导的问题,通过两道典型例题,帮助学生理解df[g(x)]/dx、f′[g(x)]和f′[g′(x)]的确切含义.
Students are easily confused with the three kinds of composite and derivative functions df[g(x)]/dx、f'[g(x)] and f'[g'(x)].Through two examples, this paper provides a way to helps students to understand the exact meaning of these functions.
作者
朱清芳
李向阳
查振邦
ZHU Qingfang LI Xiangyang and ZHA Zhenbang(College of Mathematics and Science, Luoyang Normal University, Luoyang 212013, PRC)
出处
《高等数学研究》
2017年第5期8-9,共2页
Studies in College Mathematics
基金
国家自然科学基金项目(11571005)
关键词
复合函数
求导
外层函数
composite function, derivative, outer function