## missylulu 2 years ago help on multivariable calc T-T... what are the relative extrema of f(x,y) = x^2 + e^y? is the answer none...?

clearly domain is $$\mathbb{R}^2$$ and for relative extrema we have$\frac{\partial f}{\partial x}=2x=0$$\frac{\partial f}{\partial y}=e^y=0$we should solve these equations simultaneously but u r right...answer is none because for all real values of y we have$e^y>0$