Answer
There are no critical points.
Work Step by Step
\[
\begin{array}{l}
e^{x} \cdot \sin y =f_{x x}(x, y)\\
e^{x} \cdot \cos y=f_{x x}(x, y)
\end{array}
\]
At crictical points,
\[
e^{x} \cdot \sin y=0 \\
c^{x} \cdot \cos y=0
\]
There are no definite values of $x$ for which it will be a fixed critical point.
