The functional derivative of the superconducting transition temperature Tcwith respect to the electron-phonon coupling functionα2F(ω),δTc2/δα2F(ω)permits identifying the frequency regions where phonons are most effective in raising Tc. This work presents an analysis of temperature effects on the calculation of theδTc/δα2F(ω) andμ* parameters. The results may permit establishing that the variation of the temperature in theδTc/δα2F(ω) andμ* parameter allows establishing patterns and conditions that are possibly related to the physical conditions in the superconducting state, with implications on the theoretical estimation of the Tc.