For a rotating galaxy, the inner circular-velocity gradient d R V(0) provides a direct estimate of the central dynamical mass density, including gas, stars, and dark matter. We consider 60 low-mass galaxies with high-quality H I and/or stellar rotation curves (including starbursting dwarfs, irregulars, and spheroidals), and estimatewhere R d is the galaxy scale length. For gas-rich dwarfs, we find that V R d /R d correlates with the central surface brightness μ 0 , the mean atomic gas surface density Σ gas , and the star formation rate surface density Σ SFR . Starbursting galaxies, such as blue compact dwarfs (BCDs), generally have higher values of V R d /R d than dwarf irregulars, suggesting that the starburst is closely related to the inner shape of the potential well. There are, however, some "compact" irregulars with values of V R d /R d similar to BCDs. Unless a redistribution of mass takes place, BCDs must evolve into compact irregulars. Rotating spheroidals in the Virgo cluster follow the same correlation between V R d /R d and μ 0 as gasrich dwarfs. They have values of V R d /R d comparable to those of BCDs and compact irregulars, pointing to evolutionary links between these types of dwarfs. Finally, we find that, as for spiral galaxies and massive starbursts, the star-formation activity in dwarfs can be parametrized as Σ SFR = Σ gas /τ orb , where τ orb is the orbital time and 0.02.