谢谢,不明白请追问!
y=(x-1)/(x^2+1)y'={(x^2+1)-(x-1)*2x}/(x^2+1)^2令 y'=0则 x^2+1-(x-1)*2x=0即 -x^2+2x+1=0 (x-1)^2=2x=1±√2当x<1-√2时 y'<0 y函数图像凹当1-√20 y函数图像凸当x>1+√2时 y'<0 y函数图像凹拐点:x=1+√2,x=1-√2