Derivatives of log M_*, 10 and Γ_*, 10 with respect to log M_* for three differently sized ETGs due to mergers. The first row shows the log M_* derivative of Γ_*, 10 for each merger mass ratio, ξ. The three columns correspond to different sets of mock galaxies with varying Γ_*, 10. The second row shows the log M_* derivative of log M_*, 10, offset by one to remove the effect of homogeneous mass accretion. Each data point represents a particular run of simulations. For ξ = 1, two sets of simulations with two runs in each set are shown. For the other two values of ξ, three sets of simulations are shown. Note that in some cases two point overlap, hence the number of visible data points is smaller than the number of runs.