Question Number 2172 by 123456 last updated on 06/Nov/15
$${f}:\mathbb{R}^{\mathrm{2}} \rightarrow\mathbb{R} \\ $$$$\frac{\partial{f}}{\partial{x}}=\frac{\partial{f}}{\partial{y}} \\ $$$${f}\left({x},{y}\right)=?? \\ $$
Answered by prakash jain last updated on 06/Nov/15
$${f}\left({x}\right)={ce}^{{x}+{y}} \\ $$$$\frac{\partial{f}}{\partial{x}}=\frac{\partial{f}}{\partial{y}}={ce}^{{x}+{y}} \\ $$