f(x)=x²+ax-lnx
當(dāng)a=1時(shí):f(x)=x²+x-lnx,x>0
求導(dǎo)得:
f'(x)=2x-1/x+1
令f'(x)=2x-1/x+1=0
整理得:2x²+x-1=0
(2x-1)(x+1)=0
所以:2x-1=0,x=1/2
0<x<1/2時(shí),f'(x)<0,f(x)是單調(diào)減函數(shù),單調(diào)減區(qū)間為(0,1/2];
當(dāng)x>1/2時(shí),f'(x)>0,f(x)是單調(diào)增函數(shù),單調(diào)增區(qū)間為[1/2,+∞).收起
2、
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