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. `vecE = hati 2 xy + hatj ( x^(2) + y^(2)) + hatk (3xz - y^(2))`
B. `vecE = hati z^(3) + hatj xyz + hatk z^(3)`
C. `vecE = hati (2xy - z^(3)) + hatj xy^(2) hatk 3z^(2) x`
D. `vecE = hati (2 xy + z^(3)) + hatj x^(2) + hatk 3 xz^(2)`

Answer

D

Explanation

`vecE = - ((del v)/(del x) hati + (del v)/(del y) hatj + (del v)/(del z) hatk)`