$$(15\sqrt{tgx}+ln\ x-\frac{1}{x}+\cos\ x)=$$
$\ln(x)+\cos(x)+15\sqrt{\tan(x)}-\frac{1}{x}$
$\frac{\frac{15}{\sqrt{\sin(x)\left(\cos(x)\right)^{3}}}-2\sin(x)+\frac{2}{x}+\frac{2}{x^{2}}}{2}$