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导数是高中数学新教材中新增内容之一,它的引入给传统的中学数学内容注入了新的生机和活力,也为中学数学解决问题注入了新的途径和方法。导数在解决函数单调性问题,在求函数极值和最值中,有着广泛的应用。其方法较传统的方法简洁、灵活。下面我就主要谈谈导数在函数问题中的应用。一、利用导数求函数解析式用解析式表示函数关系,便于研究函数性质,而利用导数求函数解析式,函数的一些基本性质就会更加的明了。
Derivatives is one of the newest additions in new mathematics teaching materials of high school. Its introduction has injected new vigor and vitality into the traditional high school mathematics content, and also injected new ways and methods for solving problems in middle school mathematics. Derivatives in solving the monotonicity of the function, the function extremum and the maximum value, has a wide range of applications. The method is more concise and flexible than the traditional method. Now I will mainly talk about the application of derivatives in function problems. First, the use of derivatives seeking analytic expression using analytical expressions, easy to study the nature of the function, and the use of derivatives of analytic function, some of the basic properties of the function will be more clear.