Step 1 :\( \frac{\partial V}{\partial x} = e^x \sin y - 2x + 2y \)
Step 2 :\( \frac{\partial V}{\partial y} = e^x \cos y + 2y + 2x \)
Step 3 :\( \Delta V(x, y) = \frac{\partial^2 V}{\partial x^2} + \frac{\partial^2 V}{\partial y^2} = (e^x \sin y - 2) + (-e^x \sin y + 2) = 0 \)