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for-the-function-z-xtan-1-y-x-ysin-1-x-y-2-then-the-value-of-x-z-x-y-z-y-




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

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