The electirc potential at a point `(x, y, z)` is given by
`V = -x^(2)y - xz^(3) + 4`
The electric field `vecE` at that point is

Options

A. `vec(E ) = hat(i) (2"xy "-z^(3)) + hat(j) x y^(2) + hat(k) 3 z^(2)`x
B. `vec(E ) = hat(i) z^(3) + hat(j)`xyz + `hat(k)z^(2)`
C. `vec(E ) = hat(i)("2xy + "z^(3)) + hat(j)x^(2) + hat(k) 3x z^(2)`
D. `vec(E ) = hat(i)"2xy" + hat(j) (x^(2) + y^(2)) + hat(k) (3 xz - y^(2))`

Answer

C