关于已知函数对中间变量的导数求函数的一种方法

On One Method of Solving Function of Known Function to the Differential Coefficient of Intermediate Variable

本文提出了若干类函数对中间变量的导数,借用微积分的方法,运用变量替换的技巧,找到了求这几类函数的有效方法.给出了所求函数的表达式,其结论是有关文献例题的推广.直接利用所得结论解题,使求解过程大为简化,文中列举了实例.

This paper expresses several kinds of functions to the differential coefficient of intermediate variable, then in means of calculus and in use of the technique of variable replacement , finding the effective way to the solution of these kinds of function ; moreover, it gives the expression to the function solved. The conclusion is drawn from the development of the references. Direct use of the conclusion drawn from solving the problems makes the process of solving more simple. Examples are shown in the paper .