函数f(x)=xlnx在(0,5)上的单调增区间和减区间.
人气:264 ℃ 时间:2019-12-10 13:57:50
解答
f(x)=xlnx
求导
f'(x)=lnx+1>0得
lnx>-1
x>1/e
单调增区间为 (1/e,5)
单调减区间为 (0,1/e)lnx>-1x>1/e这个是怎样来的?忘记了因为 -1=ln(1/e)所以 lnx>-1=ln(1/e)所以 x>1/e
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