  The morphometric approach [HRC13,RHK06] writes the solvation free energy as a
linear combination of weighted versions of the volume, area, mean curvature,
and Gaussian curvature of the space-filling diagram. We give a formula for the
derivative of the weighted Gaussian curvature. Together with the derivatives of
the weighted volume in [EdKo03], the weighted area in [BEKL04], and the
weighted mean curvature in [AkEd19], this yields the derivative of the
morphometric expression of solvation free energy.
