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导数及导数的应用是新课程新增加的内容,也是高考必考的内容,新的《考试大纲》明确提出了要加大新增内容的考查。导数作为解决初等数学的一种工具,常见的应用:利用导数研究函数的最值、单调性,利用导数的几何意义研究曲线切线的斜率等等,下面就导数及其与其他知识交汇的应用举例解析。
The application of derivatives and derivatives is a new addition to the new curriculum content, but also the college entrance examination content, the new “syllabus” clearly put forward to increase the test of new content. Derivatives as a tool to solve elementary mathematics, common applications: the use of derivatives of the maximum value of the study, monotonicity, the geometric meaning of the derivative of the tangent slope of the curve, and so on, the following derivatives and their intersection with other examples of applications Analysis.