求导y=e^x(3x+1)/(x^2+1)

y=e^x(3x+1)/(x^2+1)y'={[e^x(3x+1)+3e^x](x^2+1)-e^x(3x+1)*2x}/(x^2+1)^2=[(3xe^x+4e^x)(x^2+1)-e^x(6x^2+2x)]/(x^2+1)^2=(3xe^x+4e^x+3x^3e^x+4x^2e^x-6e^x6x^2+2xe^x)/(x^2+1)^2=(5xe^x+4e^x+3x^3e^x-2x^2e^x)/(...