  In this letter, we study the cosmological dynamics of steeper potential than
exponential. Our analysis shows that a simple extension of an exponential
potential allows to capture late-time cosmic acceleration and retain the
tracker behavior. We also perform statefinder and $Om$ diagnostics to
distinguish dark energy models among themselves and with $\Lambda$CDM. In
addition, to put the observational constraints on the model parameters, we
modify the publicly available CosmoMC code and use an integrated data base of
baryon acoustic oscillation, latest Type Ia supernova from Joint Light Curves
sample and the local Hubble constant value measured by the Hubble Space
Telescope.
