To prove the Heron-Rota-Welsh conjecture, Petter Brändén and Jonathan Leake extended the notion of hereditary Lorentzian polynomials associated to simplicial complex to matroid theory. Denoting that such polynomials is the volume polynomial of the Chow ring of a matroid, it is interesting to apply a differential operator $D_u$ and exploring possible connections to the notion of partial derivatives of volume polynomials in geometry. For a given matroid M, the question arises: can we combinatorially describe $D_uVol_M$ when evaluated at specific elements?