Question

Найти частные производныефункцииz=xy/x-y

Answer 1

z=xy/x-y
$z'_x=y(x-y)-xy*1/(x-y)^2=xy-y^2-xy/(x-y)^2=- frac{y^2}{(x-y)^2}$

$z'_y=x(x-y)-xy*(-1)/(x-y)^2= frac{x^2}{(x-y)^2}$