Simplify the expression $\left(x+\cos\left(2x\right)\right)^{\csc\left(3x\right)}$

$\frac{d}{dx}\left(\left(x+\cos\left(2x\right)\right)^{\csc\left(3x\right)}\right)=\frac{y^{\prime}}{y}=-3\csc\left(3x\right)\cot\left(3x\right)\ln\left(x+\cos\left(2x\right)\right)+\csc\left(3x\right)\frac{1}{x+\cos\left(2x\right)}\left(1-2\sin\left(2x\right)\right)$ See full solution 