The potential at any point is given by `V = x(y^2 - 4 x^2)`. Calculate the cartesian components of the electric field at the point.

Explanation

To find the Cartesian components of the electric field from the given electric potential \( V = x(y^2 - 4x^2) \), we will use the relationship between electric field \( \mathbf{E} \) and electric potential \( V \). The electric field components can be calculated using the following formulas:

\[ E_x = -\frac{\partial V}{\partial x} \]
\[ E_y = -\frac{\partial V}{\partial y} \]
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