导数作为一种工具,在研究函数的性质处理不等式、方程的根以及曲线的切线等问题方面有着十分重要的作用.只有深刻理解有关知识背景,吃透其含义,才能对有关问题的解决作出理性判断,从而获得正确结果.但是笔者在教学过程中发现,导数的应用还存在许多误区.下面对中学生求解导数问题时常见错误进行剖析,供参考. Derivatives, as a tool, play an important role in the study of the nature of functions in dealing with inequalities, the roots of equations, and the tangency of curves. Only with a deep understanding of the relevant knowledge background and understanding its meaning, can we make rational judgments on the solution of related problems. , In order to obtain correct results. However, the author found in the teaching process, there are still many misunderstandings in the application of derivatives. The following analysis of the middle school students to solve the common errors of the derivative problem for reference.