The derivation begins with the point form of Gauss’s law, expressed as Del dot D Bar equals volume charge density (rho V). Using the relation D Bar = Epsilon * E Bar, where Epsilon is permittivity and constant, this transforms into Del dot E bar = rho V / epsilon. Substituting electric field intensity (E bar) as negative gradient of potential (-Del V), it simplifies to -Del Square V = rho V / epsilon. Rearranging gives Poisson’s equation: Del Square V = -rhoV/epsilon. For Laplace’s equation, assuming zero volume charge density (rhoV=0), substituting in Poisson's equation results in Del Square V=0. This simplified derivation highlights key electromagnetic principles.