  In this paper we propose a quintessence model with the potential $V(\Phi
)=V_{o}[ \sinh {(\alpha \sqrt{\kappa_{o}}\Delta \Phi})] ^{\beta}$, which
asymptotic behavior corresponds to an inverse power-law potential at early
times and to an exponential one at late times. We demonstrate that this is a
tracker solution and that it could have driven the Universe into its current
inflationary stage. The exact solutions and the description for a complete
evolution of the Universe are also given. We compare such model with the
current cosmological observations.
