diff --git a/doc/source/derivs/derivs.ipynb b/doc/source/derivs/derivs.ipynb
index c621e71dd5e10dbadb7d9705ab86375542a39462..a2015a904564a8e106710bef0bb1e54d56aba7e0 100644
--- a/doc/source/derivs/derivs.ipynb
+++ b/doc/source/derivs/derivs.ipynb
@@ -24,7 +24,42 @@
     "\n",
     "$$ p^r = \\rho R T \\Lambda^r_{01}$$\n",
     "\n",
-    "Similar definitions apply for all the other residual thermodynamic properties"
+    "Similar definitions apply for all the other thermodynamic properties, with the tot superscript indicating it is the sum of the residual and ideal-gas (not included in teqp) contributions:\n",
+    "\n",
+    "$$\n",
+    "\\frac{p}{\\rho R T}  = 1 + \\Lambda^r_{01}\n",
+    "$$\n",
+    "Internal energy ($u= a+Ts$):\n",
+    "$$\n",
+    "\t\\frac{u}{RT} = \\Lambda^{\\rm tot}_{10}\n",
+    "$$\n",
+    "Enthalpy ($h= u+p/\\rho$):\n",
+    "$$\n",
+    "\\frac{h}{RT} = 1+\\Lambda^r_{01} + \\Lambda^{\\rm tot}_{10}\n",
+    "$$\n",
+    "Entropy ($s\\equiv -(\\partial a/\\partial T)_v$):\n",
+    "$$\n",
+    "\\frac{s}{R} = \\Lambda^{\\rm tot}_{10}-\\Lambda^{\\rm tot}_{00}\n",
+    "$$\n",
+    "Gibbs energy ($g= h-Ts$):\n",
+    "$$\n",
+    "\t\\frac{g}{RT} = 1+\\Lambda^r_{01}+\\Lambda^{\\rm tot}_{00}\n",
+    "$$\n",
+    "Derivatives of pressure:\n",
+    "$$\n",
+    "\t\\left(\\frac{\\partial p}{\\partial \\rho}\\right)_{T} = RT\\left(1+2\\Lambda^r_{01}+\\Lambda^r_{02}\\right)\n",
+    "$$\n",
+    "$$\n",
+    "\t\\left(\\frac{\\partial p}{\\partial T}\\right)_{\\rho} = R\\rho\\left(1+\\Lambda^r_{01}-\\Lambda^r_{11}\\right)\n",
+    "$$\n",
+    "Isochoric specific heat ($c_v\\equiv (\\partial u/\\partial T)_v$):\n",
+    "$$\n",
+    "\\frac{c_v}{R} = -\\Lambda^{\\rm tot}_{20}\n",
+    "$$\n",
+    "Isobaric specific heat ($c_p\\equiv (\\partial h/\\partial T)_p$; see Eq. 3.56 from Span \\cite{Span-BOOK-2000} for the derivation):\n",
+    "$$\n",
+    "\\frac{c_p}{R} = -\\Lambda^{\\rm tot}_{20}+\\frac{(1+\\Lambda^r_{01}-\\Lambda^r_{11})^2}{1+2\\Lambda^r_{01}+\\Lambda^r_{02}}\n",
+    "$$"
    ]
   },
   {