> 数学 >
求求函数f(x)=(x2+1)/(x-1)的单调区间求大神帮助
人气:100 ℃ 时间:2020-06-17 01:50:49
解答
(1)x>0有,f(x)=x(x-1)=(x-1/2)-1/4 显然,f(x)在(0,1/2]单调减(1/2,∞)单调增 (2)x≤0有,f(x)=-x(x-1)=-(x-1/2) 1/4 显然,f(x)在(-∞,-1/2]单调增(-1/2,0]单调减 综上,f(x)在(-1/2,0]∪(0,1/2]单调减,(-∞,-1/2]...
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版