题目内容
函数y=
x2﹣lnx的单调递减区间为( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824045429022256.png)
A.(﹣1,1] | B.(0,1] |
C.[1,+∞) | D.(0,+∞) |
B
∵y=
x2﹣lnx的定义域为(0,+∞),
y′=
,
∴由y′≤0得:0<x≤1,
∴函数y=
x2﹣lnx的单调递减区间为(0,1].
故选B.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824045429022255.png)
y′=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824045429038436.png)
∴由y′≤0得:0<x≤1,
∴函数y=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824045429054252.png)
故选B.
![](http://thumb.zyjl.cn/images/loading.gif)
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题目内容
A.(﹣1,1] | B.(0,1] |
C.[1,+∞) | D.(0,+∞) |