Output current of TLV713 regulator
Plot Vdo max / Iout  ratio vs Vout. That is the effective series resistance or Ron at those limits.The spec graphs it and shows that  Ron is 2.43 ohms at the lower voltage and 1.53 at the higher voltage. This is due to Vgs-Vt for the internal FET. Then you can analyze the worst case Vdo margin and power dissipation with your  load R.

Then you can extrapolate or interpolate (NOMINAL) Ron at nearby Voltages. BUT USE WORST CASE FROM THE TABLES.