Need Help with this physics 2 questions?

Question

In a certain region of space, the electric potential is given by V= Ax^2z − Bxz^2, were A= 8.00V/m^3 and B= 6.00V/m^3

Calculate the electric field at coordinates x = - 2.00 m, y = 3.00 m, and z = 3.00m.

a. Ey=

b. Ex=

b. Ez=

Answer 1

E_x = -∂V/∂x

E_y = -∂V/∂y

E_z = -∂V/∂z

You have the electric potential V(x,y,z). Just evaluate the 3 partial derivatives at the specified point, multiply them by -1, and you will get the 3 components of the electric field in units of volts per meter.