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凹凸区间如何判断
更新时间: 2020-11-19 00:00:00  

判断方法:

在函数f(x)的图象上取任意两点,如果函数图象在这两点之间的部分总在连接这两点的线段的下方,那么这个函数就是凹函数。

同理可知,如果函数图像在这两点之间的部分总在连接这两点线段的上方,那么这个函数就是凸函数。

几何定义:

1、f(λx1+(1-λ)x2)=λf(x1)+(1-λ)f(x2),即A型,为“凹向原点”,或“上凸”(下凹),(同样有的简称凹有的简称凸)

关键词: 凹凸 区间 如何 判断

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