推荐回答（4个）
导数表示函数曲线在某个点处的斜率，也就是变化趋势的大小
二阶导是反映一阶导数变化的快慢
三阶导反映的二阶导的变化快慢
。。。。。。(无限套娃ing)
至于高阶导对于原先函数的影响嘛
并没有什么具体的意义
但如果硬要强加意义的话
大概就是对于原先函数变化的累加效应吧
这个累加效应在极小的时间内（微分的概念）变化等同于没有，但是在可观测到的时间内效果比一阶导数要大
或者这么说，你绘制一幅复杂的函数图像（仅限普通多项式），求几次导反映了你绘制图像的精准度。
求的导数阶数越高，绘出的图像越精准
或者也可以这么说，减少不确定度
这么说吧，你只求一阶导，你只能知道原函数是单调增还是单调减，
但你再求二阶导，你便能知道原函数的凹凸性。原函数到底是凹进去还是凸出来就能知道
但同样是凹进去的地方，哪个凹得更厉害？
只求二阶导是不知道的
求三阶导，你就能知道凹凸的幅度大小
。。。。。（无限套娃ing）
推荐你了解了解泰勒展开和微分的概念
差不多就能明白了
导数表示函数曲线在某个点处的斜率，也就是变化趋势的大小
二阶导是反映一阶导数变化的快慢
三阶导反映的二阶导的变化快慢
。。。。。。(无限套娃ing)
至于高阶导对于原先函数的影响嘛
并没有什么具体的意义
但如果硬要强加意义的话
大概就是对于原先函数变化的累加效应吧
这个累加效应在极小的时间内（微分的概念）变化等同于没有，但是在可观测到的时间内效果比一阶导数要大
或者这么说，你绘制一幅复杂的函数图像（仅限普通多项式），求几次导反映了你绘制图像的精准度。
求的导数阶数越高，绘出的图像越精准
或者也可以这么说，减少不确定度
这么说吧，你只求一阶导，你只能知道原函数是单调增还是单调减，
但你再求二阶导，你便能知道原函数的凹凸性。原函数到底是凹进去还是凸出来就能知道
但同样是凹进去的地方，哪个凹得更厉害？
只求二阶导是不知道的
求三阶导，你就能知道凹凸的幅度大小
。。。。。（无限套娃ing）
推荐你了解了解泰勒展开和微分的概念
差不多就能明白了
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