This is LaTeX code:

[latex]
 f(x)'=({ ( \frac{(\frac{1}{2 \cdot \sqrt {x^2 - x}}) \cdot (2x - 1)}{x^2 - x + 1}} \cdot {\ln x } +{( \arctan \cdot \sqrt {(x^2 - x)})} \cdot \frac{1}{x}) \cdot {x}^{\arctan \cdot \sqrt {(x^2 - x)}} 
[/latex]