关于变上限函数求导的教学实例

On Teaching of Second Fundamental Theorem of Calculus

从变上限函数的基本概念以及求导公式出发,通过几组教学实例,阐述对简单变上限函数、复合变上(下)限函数、以及需要作变量替换才能求导的变上限函数求导的方法.

A definite integral can be viewed as a function of its upper limit （and lower limit）. Moreover, the upper limit （or lower limit） can be a function. Using a set of examples, this paper demonstrates ways of using the Second Fundamental Theorem of Calculus to find derivatives of functions described above.