(a)$\left(\frac{\partial \mathrm{S}}{\partial \mathrm{L}}\right)_{\mathrm{p}, \mathrm{T}}=-\left(\frac{\partial \mathrm{f}}{\partial \mathrm{T}}\right)_{\mathrm{p}, \mathrm{L}}$
(b)$\left(\frac{\partial \mathrm{S}}{\partial \mathrm{L}}\right)_{\mathrm{p}, \mathrm{T}}=-\left(\frac{\partial \mathrm{f}}{\partial \mathrm{V}}\right)_{\mathrm{p}, \mathrm{L}}$
(c)$\left(\frac{\partial \mathrm{S}}{\partial \mathrm{L}}\right)_{\mathrm{p}, \mathrm{T}}=-\left(\frac{\partial \mathrm{V}}{\partial \mathrm{T}}\right)_{\mathrm{p}, \mathrm{L}}$
(d)$\left(\frac{\partial \mathrm{S}}{\partial \mathrm{L}}\right)_{\mathrm{p}, \mathrm{T}}=-\left(\frac{\partial \mathrm{f}}{\partial \mathrm{p}}\right)_{\mathrm{T}}$