导数是解决函数问题的重要工具,运用导数解题简单便捷。何时运用导数,如何充分利用导数的解题功能呢?下面总结优先考虑运用导数的几个方面。一、特殊字眼如果题目中出现切线、单调、极值这三个词,我们应该想到导数这一工具。例1已知函数f(x)=(a(x-1))/x~2,其中a>0。(1)求函数f(x)的单调区间; Derivatives are important tools for solving problems. Using derivatives is a simple and convenient solution. When to use derivatives, how to make full use of the derivative problem solving function? The following summary gives priority to using several aspects of the derivative. First, Special Words If the words tangent, monotonous, and extremum appear in the title, we should think of the derivative tool. Example 1 has a known function f(x)=(a(x-1))/x~2, where a>0. (1) Find the monotonic interval of function f(x);