% !TeX root = BaseProps-Derivs-Second_Standalone.tex
% !TeX program = pdfLaTeX
\begin{tabularx}{\linewidth}{ccl}
\toprule
Property & &Formulation \\
\midrule
%
\der{^2 p}{\varrho^2}{T} & $=$ & $\phantom{} \dfrac{TR}{\varrho}\left[
2\delta\ard + 4\delta^2\ardd + \delta^3\arddd
\right]$ \\[10pt]
%
\der{^2 p}{T^2}{\varrho} & $=$ & $\phantom{} \dfrac{\varrho R}{T}\left[
\tau^2\delta\arttd
\right]$ \\[10pt]
%
\der{^2 p}{\varrho \,\partial T}{} & $=$ & $\phantom{T}R\left[
1 + 2\delta\ard + \delta^2\ardd - 2\tau\delta\artd - \tau\delta^2\artdd
\right]$ \\[20pt]
%%
\der{^2 s}{\varrho^2}{T} & $=$ & $\phantom{} \dfrac{R}{\varrho^2} \left[
1 - \delta^2\ardd + \tau\delta^2\artdd
\right]$ \\[10pt]
%
\der{^2 s}{T^2}{\varrho} & $=$ & $\phantom{} \dfrac{R}{T^2} \left[
 \tau^3(\aittt+\arttt) + 3\tau^2(\aitt+\artt)
\right]$ \\[10pt]
%
\der{^2 s}{\varrho \,\partial T}{} & $=$ & $\phantom{} \dfrac{R}{T \varrho} \left[
 -\tau^2\delta\arttd
\right]$ \\[20pt]
%%
\der{^2 u}{\varrho^2}{T} & $=$ & $\phantom{} \dfrac{TR}{\varrho^2} \left[
\tau\delta^2\artdd
\right]$ \\[10pt]
%
\der{^2 u}{T^2}{\varrho} & $=$ & $\phantom{T} \dfrac{R}{T} \left[
\tau^3(\aittt+\arttt) + 2\tau^2(\aitt+\artt)
\right]$ \\[10pt]
%
\der{^2 u}{\varrho \,\partial T}{} & $=$ & $\phantom{T} \dfrac{R}{\varrho} \left[
-\tau^2\delta\arttd
\right]$ \\[20pt]
%%
\der{^2 h}{\varrho^2}{T} & $=$ & $\phantom{} \dfrac{TR}{\varrho^2} \left[
\tau\delta^2\artdd + 2\delta^2\ardd + \delta^3\arddd
\right]$ \\[10pt]
%
\der{^2 h}{T^2}{\varrho} & $=$ & $\phantom{T} \dfrac{R}{T} \left[
\tau^3(\aittt+\arttt) + 2\tau^2(\aitt+\artt) + \tau^2\delta\arttd
\right]$ \\[10pt]
%
\der{^2 h}{\varrho\,\partial T}{} & $=$ & $\phantom{T} \dfrac{R}{\varrho} \left[
\delta^2\ardd - \tau^2\delta\arttd + \delta\ard - \tau\delta^2\artdd - \tau\delta\artd
\right]$ \\[20pt]
%%
\der{^2 g}{\varrho^2}{T} & $=$ & $\phantom{} \dfrac{T R}{\varrho^2} \left[
-1 + 3\delta^2\ardd + \delta^3\arddd
\right]$ \\[10pt]
%
\der{^2 g}{T^2}{\varrho} & $=$ & $\phantom{\varrho} \dfrac{R}{T} \left[
\tau^2(\aitt+\artt) + \tau^2\delta\arttd
\right]$ \\[10pt]
%
\der{^2g}{\varrho\,\partial T}{} & $=$ & $\phantom{T} \dfrac{R}{\varrho} \left[
1 + 2\delta\ard - 2\tau\delta\artd + \delta^2\ardd - \tau\delta^2\artdd
\right]$ \\[5pt]
%
\bottomrule
\end{tabularx}%
