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由于导数的引入,使函数问题的解决上升到一个高新层次,是对函数图像与性质的总结和拓展,是研究函数单调性、极值、最值和讨论函数图像的变化趋势的重要工具,因此它成为高中数学解题的一种有力工具。下面就导数在解决函数问题中的应用作一归纳总结,以供同学们学习时参考。一、有关函数的单调性问题例1图1中的四个图,都是同一坐标系中三次函数及其导函数的图像,其中一定不正确的序号是
Due to the introduction of derivatives, the solution of functional problems to a new high level is to summarize and expand the image and nature of functions. It is an important tool to study the monotonicity, extremum and maximum of functions and to discuss the changing trend of function images. Therefore, It becomes a powerful tool for solving high school math problems. The following derivative function in the solution to the problem of a summary of induction for students to learn when reference. First, the monotonicity of the function of the problem Example 1 Figure 1 in the four figures are the same coordinate system of the cubic function and its derivative function of the image, some of which is incorrect The serial number is