设f(x)有二阶连续导数且f'(0)=0,lim(x趋向于0)f''(x)/|x|=1则
f(0)是f(x)的极大值还是极小?为什么?
人气:241 ℃ 时间:2019-08-20 01:31:48
解答
lim(x趋向于0)f''(x)/|x|=1
故在0的附近)f''(x)>0,故曲线是凹的,所以:f(0)是f(x)的极小值
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