The alchemical approach methodology allows for assessing the role of softness and hypersoftness for the energy E and chemical potential μ for a closed system (polarization effect) and for the possible flow of charge to/from an atom and a reservoir at constant μ (an open system), the handy model for an electron exchange in a chemical reaction. The role of derivatives representing the susceptibilities of atoms to a disturbance of the external potential has been determined, by calculating the integrals (eq. 14-18 and Table ⁄ 𝑣 (eq. 17 and eq. 18) are small as compared with other entries in this table. They appear to have little effect for the state functions, as their role for the coefficient Bμ and BN is marginal. However, the disturbance in the second order cannot be entirely neglected, except for 𝛥𝑁 𝜇 (∆𝑍) (eq. 21). Calculated parameters for the 𝛥𝐸 𝑁 (∆𝑍) and 𝛥𝜇 𝑁 (∆𝑍) relationships presented in Table prove the role of the second order derivatives, since the local softness s(r) plays quite significant role here. The second order effect provides large term of the energy change and has been proved to dominate the effect Δμ in the chemical potential (at constant N). Only for the charge flow (at constant μ) it is limited to the first order effect.