Question Number 214726 by universe last updated on 18/Dec/24
$$\mathrm{for}\:\mathrm{the}\:\mathrm{function}\:{z}\:=\:{x}\mathrm{tan}^{−\mathrm{1}} \left(\frac{{y}}{{x}}\right)+{y}\mathrm{sin}^{−\mathrm{1}} \left(\frac{{x}}{{y}}\right)+\mathrm{2} \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}\frac{\partial{z}}{\partial{x}}+{y}\frac{\partial{z}}{\partial{y}}=?\: \\ $$