Throughout space some very bizarre collection of charges has created an electric potential that varies with position (x,y,z) as given by the equation:

V(x,y,z) = 5.36 x³ y² z⁴ + 3.77 x³ y² z³

^{You are to determine all three components of the electric field:}

The x-component E_x =

The y-component E_y =

The z-component E_z = k