y'=3x²-2x-1=(3x+1)(x-1)=0,得极值点x=-1/3,1y"=6x-2=2(3x-1)=0得x=1/3单调增区间：x<-1/3, 或x>1单调减区间：-1/3极大值y(-1/3)=-1/27-1/9+1/3+1=31/27极小值y(1)=1-1-1+1=0凹区间：x>1/3凸区间：x<1/3拐点：x=1/3, y=1/27-1/9-1/3+1=16/27
