f(x)在【0,a】上二阶可导,f ''(x)的绝对值小于等于M(x属于区间【0,a】),f(x)(0,a)有max 证明:

问题描述:

f(x)在【0,a】上二阶可导,f ''(x)的绝对值小于等于M(x属于区间【0,a】),f(x)(0,a)有max 证明:
f '(0)与f '(a)的绝对值的和小于等于Ma

设 f(c) 是最大值,0