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\begin{tabularx}{420pt}{rcc}
\toprule
Specific internal energy $u = u(s,v)$ & $\mathrm{d}u = 
  \der{u}{s}{v} \mathrm{d}s
+ \der{u}{v}{s} \mathrm{d}v
$ & $\mathrm{d}u =
\phantom{+} T \mathrm{d}s
- p \mathrm{d}v$ \\[15pt]
Specific enthalpy $h  = h(s,p)$ & $\mathrm{d}h = 
  \der{h}{s}{p} \mathrm{d}s
+ \der{h}{p}{s} \mathrm{d}p
$ & $\mathrm{d}h =
\phantom{+} T \mathrm{d}s
+ v \mathrm{d}p$ \\[15pt]
Specific Helmholtz energy $f = f(T,v)$ & $\mathrm{d}f = 
  \der{f}{T}{v} \mathrm{d}T
+ \der{f}{v}{T} \mathrm{d}v
$ & $\mathrm{d}f =
- s \mathrm{d}T
- p \mathrm{d}v$ \\[15pt]
Specific Gibbs energy $g = g(p,T)$ & $\mathrm{d}g = 
  \der{g}{T}{p} \mathrm{d}T
+ \der{g}{p}{T} \mathrm{d}p
$ & $\mathrm{d}g =
-s\mathrm{d}T
+v\mathrm{d}p$ \\
\bottomrule
\end{tabularx}%
