Найдите \(f^\prime(1)\) если \(f(x)=\frac{tg\frac{\pi}{6}+tg\frac{\pi}{12}}{1-tg\frac{\pi}{6}tg\frac{\pi}{12}}\ x^4+2sin\frac{\pi}{6} x^3-sin^2\frac{\pi}{4}.\)