2018年高中数学第一章导数及其应用1.2.1常数函数与冥函数的导数课件2新人教B版选修2_2.ppt

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1.2.1,常数函数与幂函数的导数,一、温故求新:,上节课我们有什么收获?,1.导数的几何意义; 2.利用导数求切线; 3.解决在点处和过点的切线问题。,二、探究学习:,1.常数函数 的导数,利用导数定义求下列函数导数:,发现:,2.函数 的导数,解:,3.函数 的导数,解:,4.函数 的导数,即:,5.函数 的导数,即:,6.函数 的导数,即:,你有没有发现求幂函数的导函数的规律?,我们发现:,幂函数,事实上:,上述幂函数的求导公式,对任意实数幂都成立,三、练习,1.试说明 和 的几何意义。,2.求下列幂函数的导数:,3.求三次函数 在点(2,8)处的切线方程。,四、小结,今天你有什么收获?,五、课后巩固,1.教材 练习B2.预习,

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