Applying the logarithmic differentiation, find the derivative of the following function y=\frac{\sqrt[4]{\left(\sin \left(\cos \left(3 x^{2}-4 x\right)\right)\right)^{5}} \sqrt[3]{\left(9 x^{5}+7 x^{4}+5\right)^{2}}}{4^{x^{2}-3 x} \sin \left(x^{2}\right)}