  We evaluate the frequencies of collective modes and the anisotropic expansion
rate of a harmonically trapped Fermi superfluid at varying coupling strengths
across a Feshbach resonance driving a BCS-BEC crossover. The equations of
motion for the superfluid are obtained from a microscopic mean-field expression
for the compressibility and are solved within a scaling ansatz. Our results
confirm non-monotonic behavior in the crossover region and are in quantitative
agreement with current measurements of the transverse breathing mode by Kinast
{\it et al.} [Phys. Rev. Lett. {\bf 92}, 150402 (2004)] and of the axial
breathing mode by Bartenstein {\it et al.} [Phys. Rev. Lett. {\bf 92}, 203201
(2004)].
