关于连乘积函数高阶求导公式的教学探究

Teaching Inquiry on the Higher Derivative Formula of the Continuous Product Function

两个函数相乘的一阶导数及高阶导数的求导法则在多数分析学教材中均已详细的给具体公式和推导过程。关于多个函数(三个及以上)之积的求导法则,尤其是高阶导数的计算公式则可以通过采取引导和启发的教学方式,同时激励学生利用所学其它课程的知识去尝试总结归纳出多函数之积的高阶求导公式,进而培养学生发散思维探究新知的能力。

The first derivative and the higher derivative of the two functions have been detailed in most analytical textbooks. About the product of multiple functions (three or more) of the guide law, especially the higher derivative calculation formula can be guided and inspired teaching methods, motivating students to use the knowledge of other courses to try to sum up the product of the functions of higher order guide formula, and cultivate the guidance of students’ divergent thinking ability to explore new knowledge.