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+\documentclass{book}
+\usepackage{tocbibind} % adds some entries in the main TOC.
+\usepackage{lipsum} % provides filling text
+\usepackage[tight]{minitoc}
+\setcounter{minitocdepth}{3}
+\setcounter{parttocdepth}{3}
+\begin{document}
+\doparttoc
+\dominitoc
+\tableofcontents
+\mtcaddchapter % because tocbibind adds a chapter entry in the TOC
+\chapter{First}
+\minitoc
+First chapter
+\section{First section}
+\lipsum
+\section{Second section}
+\lipsum
+\chapter{Second}
+\minitoc
+Second
+\section{First section of second chapter}
+\lipsum
+\section{Second section of second chapter}
+\lipsum
+\appendix % begins the appendices
+\addcontentsline{toc}{part}{Appendices} % adds a part entry in the TOC
+\adjustptc % fixes the parttoc counter ptc
+\parttoc % adds a partial toc for the appendices
+\begin{mtchideinmaintoc}[-1] % hides the details of the
+% % appendices in the main TOC, but chapter-level
+% % entries would be still visible if you use 0
+% % in place of -1 as optional argument.
+\chapter{First appendix}
+\minitoc
+First appendix
+\section{First section}
+\lipsum
+\section{Second section}
+\lipsum
+\chapter{Second appendix}
+\minitoc
+Second appendix
+\section{First section of second appendix}
+\lipsum
+\section{Second section of second appendix}
+\lipsum
+\end{mtchideinmaintoc} % end of hiding
+\end{document}