Find the derivative using logarithmic differentiation method $\sqrt{\frac{x^3-y^3}{x+y}\frac{x^2+2xy+y^2}{x^2+xy+y^2}}\frac{x^2-y^2}{4}$

 Function Plot

Plotting: $\frac{y^{\prime}}{y}=\frac{1}{x^2-y^2}\left(2x-2y\cdot y^{\prime}\right)+\frac{1}{2}\left(\frac{1}{x^3-y^3}\left(3x^{2}-3y^{2}y^{\prime}\right)+\frac{1}{x^2+2xy+y^2}\left(2x+2\left(y+xy^{\prime}\right)+2y\cdot y^{\prime}\right)+\frac{-1}{x+y}\left(1+y^{\prime}\right)+\frac{-1}{x^2+xy+y^2}\left(2x+y+xy^{\prime}+2y\cdot y^{\prime}\right)\right)$