积分和导数是新教材新增内容之一.导数作为解决数学问题的一个重要的工具,已引起中学数学教师的重视.导数在中学数学中的应用,如用导数研究函数的性质,用导数解决不等式问题,导数在解析几何中的应用等,在各级各类教辅报刊杂志中多有论述;但导数在数列问题,尤其在数列求和问题中 Derivatives and derivatives are one of the new contents of new textbooks.Due derivatives, as an important tool to solve mathematical problems, have drawn the attention of high school mathematics teachers.The application of derivatives in middle school mathematics, such as using derivatives to study the properties of functions, Inequalities, the application of derivatives in analytic geometry, etc., are discussed in various types of supplementary newspapers and magazines at all levels. However, the derivative of the derivative in the series, especially in the series of summation