求f(x)=|x-a|-(a/2)*ln(x-1)的单调区间
问题描述:
求f(x)=|x-a|-(a/2)*ln(x-1)的单调区间
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答
函数定义域:(1,+∞)当x>=a>1时 f(x)=x-a-(a/2)*ln(x-1)f'(x)=1-a/[2(x-1)]令f'(x)>0 a/[2(x-1)]a x>a/2+1 f(x)在(1+a/2,+∞)递增令f'(x)1 2(x-1)-a/2+1 f(x)在(1,+∞)递增令f'(x...