Question

НАЙТИ ПРОИЗВОДНУЮ
xe^(y)+ye^(x)=xy

Answer 1

$xe^{y}+ye^{x}=xy\\e^{y}+xe^{y}cdot y'+y'cdot e^{x}+ye^{x}=y+xy'\\y'=frac{y-ye^{x}-e^{y}}{xe^{y}+e^{x}-x}$