question_answer

\[If\,\,{{x}^{2}}{{e}^{y}}+2xy{{e}^{x}}+13=0\,\,\,then\frac{dy}{dx}\]

A)  \[\frac{2x{{e}^{y-x}}+2y(x+1)}{x(x{{e}^{y-x}}+2)}\]       

B)  \[2x{{e}^{x-y}}+2y(x+1)\]

C)  \[\frac{2x{{e}^{x-y}}+2y(x+1)}{x(x{{e}^{x-y}}+2)}\]

D)  None of these