函数f(x)=(x-1)/(x+2)的单调区间怎么算?
问题描述:
函数f(x)=(x-1)/(x+2)的单调区间怎么算?
答
f(x)=(x-1)/(x+2)1、减区间不存在,增区间是:(-∞,-2),(-2,+∞)2、证明:【证明函数在(-2,+∞)上递增】设:x1>x2>-2,则:f(x1)-f(x2)=[(x1-1)/(x1+2)]-[(x2-1)/(x2+2)]=[3(x1-x2)]/[(x1+2)(x2+2)]...