How the electric field intesity `overset (rarr)(E)` and the potential gradient `(frac (dV)(dx) )` related to each other.

How is electric field intensity at a point related to the potential gradient there ?

How is electric field intensity at a point related to the potential gradient there ?

For an isolated point charge both the electric field-intensity, overset (rarr) (E) and potential (V) are zero only at….. .

Deduce the following : Electric field intensity overset (rarr)E at a point.

Establish a relation between electric field intensity and potential gradient.

Deduce the following : Potential gradient (frac (dV)(dx)) two adjacent points.