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导数是研究函数的有力工具,应用很广,如用导数研究函数的单调性,用导数求函数的极大(小)值和最大(小)值,求解析几何中曲线的切线,证明不等式,研究函数性质和解决一些实际问题等等.本文拟就导数的应用,谈一点个人的认识,希望学生学会依据题目条件,利用动态思维,选择有利于问题解决的途径和方法,从而加强对导数的理解和应用.一、函数的最值与导数1.最值与极值的区别极值是指某一点附近函数值的比较.因此,同一函数在某
Derivatives are powerful tools for studying functions. They are widely used. For example, using the derivative to study the monotonicity of the function, finding the tangent of the curve in the geometry by using the maximum (small) value and the maximum (small) value of the derivative function, Study the nature of the function and solve some practical problems, etc .. This article intends to talk about the application of derivatives, to talk about a little personal understanding, I hope students learn according to the subject conditions, the use of dynamic thinking, the choice of ways and methods conducive to problem solving, thereby strengthening the derivative Understand and apply. First, the function of the most value and derivative 1. The difference between the maximum and the extreme Extreme value refers to a point near the value of the function of the comparison. Therefore, the same function in a