This is LaTeX code:

[latex]
 (\frac{x}{2(1+x^2)}+\frac{3}{2}\arctan x)'=\frac{1}{2}\frac{1+x^2-2x^2}{(1+x^2)^2} + \frac{3}{2}\frac{1}{1+x^2} = 
[/latex]