根据求导法则,可得出导数为:
'(arctanx-1)分之(x+1)'的导数
= (arctanx-1)'(x+1)分之(x+1)'(arctanx-1)
= (1/(1+x^2))(x+1)'(arctanx-1)
= (1/(1+x^2))((x+1)'(arctanx-1))
= (1/(1+x^2))((1/(1+x^2))'((x+1)'(arctanx-1)))
= (1/(1+x^2))((1/(1+x^2))'((1/(1+x^2))'((x+1)'(arctanx-1))))
= (1/(1+x^2))((1/(1+x^2))'((1/(1+x^2))'((1/(1+x^2))'((x+1)'(arctanx-1)))))
...
以此类推,可以得到导数无限多次,因此无法得到一个确定的导数值。