$\mathrm {x^y=e^{x+y}}$ হলে, $\mathrm {\frac{dy}{dx}} = ?$

$\mathrm { \frac{x-y}{x(1-\ln x)}}$

$\mathrm { \frac{x-y}{x(\ln x-1)}}$

$\mathrm { \frac{y-x}{x(\ln x-1)}}$

$\mathrm { \frac{x-y}{\ln x-1}}$