The electric potential at a point (x, y, z) is given by

The electric potential at a point (x, y, z) is given by V = – x²y – xz³ + 4. The electric field ^⇒E at that point is

1. ^⇒E = î 2xy + ĵ (x² + y²) + ∆k(3xy - y²)
2. ^⇒E = î z³ - ĵ xyz - ∆k z²
3. ^⇒E = î (2xy - z³) + ĵxy² + ∆k 3z² x
4. ^⇒E = î (2xy + z³) + ĵx² + ∆k 3xy⊃

The electric field at a point is equal to negative of potential gradient at that point.

^→E =	∂V		∂V	î +	∂V	ĵ +	∂V	̂k
	∂r		∂x		∂y		∂z

= [(2xy + z³ )î + ĵx² + ̂3xz²]