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导数作为研究函数单调性的重要工具,在求函数的最值问题中起到举足轻重的作用,尤其是在闭区间上的最值非常有效。但是由于部分函数解析式中含有字母参数或者区间上也含有参数,这就需要我们对字母参数进行分类讨论,而按照一定的分类标准巧妙地展开讨论,就成了解题成功的关键。本文就来探讨一下指定区间上最值的分类讨论标准,仅供参考。1按导函数图像在区间内交点个数分类讨论例1已知函数f(x)=x+a/x(a∈R),求f(x)
Derivatives as an important tool for studying the monotonicity of a function play a decisive role in finding the most value of the function, especially in the closed interval. However, because part of the function analysis contains the letter parameters or interval also contains parameters, which requires us to discuss the letter parameters discussed, and in accordance with certain classification criteria cleverly discussed, it becomes the key to the success of the problem. This article will explore the classification of the value of the specified interval on the standard discussion for reference purposes only. 1 Guided Function Image Number of Intersection Points Classification Discussion Example 1 It is known that the function f (x) = x + a / x (a∈R)