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人教A版高中数学选修2-2介绍了导数的概念并试用导数研究函数单调性、极值、最值.下面结合教学中实际问题说明在以下几方面的应用.一、研究函数单调性定理:设函数f(x)在区间I可导,函数f(x)在区间I单调递增(单调递减)任意x∈I有f’(x)>0,(f’(x)<0).例1讨论函数f(x)=x3-6x2+9x-2单调性.
People teach A version of high school mathematics elective 2-2 introduces the concept of derivatives and try the derivative of the study monotonic, extreme value, the most value.Considering the practical problems in teaching the following aspects of the application.First, the study of monotonicity function Let f (x) be a monotonically increasing (monotonically decreasing) interval I in the interval I, let f ’(x)> 0, (f’ (x) <0) Example 1 discusses the function f (x) = x3-6x2 + 9x-2 monotonicity.