Solve {l}{d/dx3sin^2(x)}{-frac{xsqrt{x^4x}}{cos^2(x-1)}}

$$\left. \begin{array} { l } { \frac { d } { d x } 3 \sin ^ { 2 } ( x ) } \\ { - \frac { x \sqrt { x ^ { 4 x } } } { \cos ^ { 2 } ( x - 1 ) } } \end{array} \right.$$

Evaluate

$$\frac{12\left(\sin(1)\right)^{2}\cos(x)\left(\sin(x)\right)^{3}+12\left(\cos(1)\right)^{2}\sin(x)\left(\cos(x)\right)^{3}-2x^{2x+1}+3\sin(2)\left(\sin(2x)\right)^{2}}{2\left(\sin(1)\sin(x)+\cos(1)\cos(x)\right)^{2}}$$

Differentiate w.r.t. x

$$\frac{-2\sin(1)\ln(x)\sin(x)\left(x^{x+1}\right)^{2}-2\cos(1)\ln(x)\cos(x)\left(x^{x+1}\right)^{2}+2\sin(1-x)\left(x^{x+1}\right)^{2}-2\sin(1)\sin(x)\left(x^{x+1}\right)^{2}-2\cos(1)\cos(x)\left(x^{x+1}\right)^{2}+18\cos(1)x\left(\sin(1)\sin(x)\right)^{2}\left(\cos(x)\right)^{3}-18\sin(1)x\left(\cos(1)\cos(x)\right)^{2}\left(\sin(x)\right)^{3}+6x\left(\cos(x)\right)^{2}\left(\sin(1)\sin(x)\right)^{3}-6x\left(\sin(x)\right)^{2}\left(\cos(1)\cos(x)\right)^{3}+18\sin(1)\left(\cos(1)\right)^{2}x\sin(x)\left(\cos(x)\right)^{4}-18\cos(1)\left(\sin(1)\right)^{2}x\cos(x)\left(\sin(x)\right)^{4}+6\left(\cos(1)\right)^{3}x\left(\cos(x)\right)^{5}-6\left(\sin(1)\right)^{3}x\left(\sin(x)\right)^{5}-\sin(1)\sin(x)x^{2x+1}-\cos(1)\cos(x)x^{2x+1}}{x\left(\sin(1)\sin(x)+\cos(1)\cos(x)\right)^{3}}$$