Answer
\[
\begin{array}{l}
e^{y}=f_{x}(x, y) \\
x \cdot e^{y}=f_{y}(x, y)
\end{array}
\]
No critical points
Work Step by Step
\[
\begin{array}{l}
e^{y}=f_{x}(x, y) \\
x \cdot e^{y}=f_{y}(x, y)
\end{array}
\]
At critical points, $e^{y}=0,$ and $x . e^{y}=0$
However, $e^{y}$ cannot be equal to 0.
Thus, there are no critical points, and there will be no local extrema or saddle points.
