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NMDC-Palatini cosmology in slow-roll regime is of our interests. We presentflat FLRW cosmological NMDC-Palatini field equations and accelerationcondition. Late time trajectory is approximated. Chaotic inflation potential isconsidered here as it is viable in a range of positive coupling constant asconstrained by CMB results. Phase portraits show that the NMDC-Palatini givesnew saddle-point solutions. In $V \propto \phi^2$ potential, the NMDC-Palatinieffect enlarges the acceleration-allowed region from that of GR case.

Non-minimal derivative coupling in Palatini cosmology: acceleration in chaotic inflation potential