d(ΔG) = −ΔS dT
ΔG = ΔH − TΔS
ΔG = ΔH + T d(ΔG)dT
ΔG = ΔH + T d(−nFE)dT
ΔG = ΔH − nFT dEdT
dEdT = ΔG − ΔH−nFT
dEdT = −TΔS−nFT
dEdT = ΔSnF