In a certain region of space, the electric potential is V(x,y,z)=Axy−Bx² +Cy, where A,B and C are positive constants. Calculate the x,y and z components of the electric field.
a. Ex=−Ax,Ey=−Ay,Ez=0
b. Ex=−Ax+2Bx,Ey=−Ay−C,Ez=0
c. Ex=−Ay+2Bx,Ey=−Ax−C,Ez=0
d. Ex=−Ay,Ey=−Ax,Ez=0