求(1+x^2)^arctan x的导数

求(1+x^2)^arctan x的导数
求(1+x^2)^arctan x的导数

求(1+x^2)^arctan x的导数
y=(1+x²)^arctanx
lny=arctanxln(1+x²)
求导
(1/y)*y'=1/(1+x²)*ln(1+x²)+arctanx*2x/(1+x²)
y'=(1+x²)^arctanx*[ln(1+x²)+2xarctanx)/(1+x²)