The x-commponent of the electric field is,
                  Â
Ex = dV/dx
                          Â
= d/dx[(2.0 V/m2)x2 - (3.0
V/m2)y2]
                          Â
= (2.0 V/m2)(2x)
                          Â
= (4.0 V/m2)x
The y-commponent of the electric field is,
               Â
   Ey = dV/dy
                          Â
= d/dy[(2.0 V/m2)x2 - (3.0
V/m2)y2]
                          Â
= -(3.0 V/m2)(2y)
                          Â
= -(6.0 V/m2)y
Thus, the vector form of the electric field is,
        E =
Ex + Ey
          Â
= [(4.0 V/m2)x] i - [(6.0
V/m2)y] j
Here, i and j are unit vectors
along the x and y axis respectively.
