Răspuns:
[tex]df(x,y)=e^{2x+3y} +y^{x} +x^{y} +\frac{x}{y} +\frac{y}{x} \\\frac{x}{y} \frac{df(x,y)}{dx} =2ex^{2x+3y} +y^{x} lny+(y-1)x^{y-1} +\frac{1}{y} -\frac{y}{x^{2} } \\\frac{df(x,y)}{dy} =3ex^{2x+3y} +(x-1)y^{x-1} +x^{y} lnx+\frac{-x}{y^{2} } +\frac{1}{x}[/tex]
Explicație pas cu pas: