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% http://tex.stackexchange.com/q/350028/
\documentclass{book}
\usepackage[T1]{fontenc}
\usepackage{xsim}
\usepackage[most]{tcolorbox}
\tcbuselibrary{skins,breakable}
\DeclareExerciseEnvironmentTemplate{tcolorbox}{%
\tcolorbox[
enhanced,
colframe=green!20!black,
colback=yellow!10!white,
coltitle=green!40!black,
fonttitle=\bfseries,
underlay={%
\begin{tcbclipinterior}
\shade[
inner color=\IfInsideSolutionTF{red!50!yellow}{green!80!yellow},
outer color=yellow!10!white]
(interior.north west) circle (2cm);
\draw[help lines,step=5mm,yellow!80!black,shift={(interior.north west)}]
(interior.south west) grid (interior.north east);
\end{tcbclipinterior}%
},
attach title to upper=\quad,
title = \XSIMmixedcase{\GetExerciseName}~\GetExerciseProperty{counter}
\IfExercisePropertySetT{points}{%
(\GetExerciseProperty{points}
\IfExerciseGoalSingularTF{points}
{\XSIMtranslate{point}}
{\XSIMtranslate{points}})%
}]%
\IfInsideSolutionT{\label{solution:\ExerciseID}}%
}{%
\endtcolorbox
\vspace*{\baselineskip}
\IfInsideSolutionTF{%
\noindent Exercise~\GetExerciseProperty{counter} is on
page~\GetExerciseProperty{page}.%
}{%
\noindent The solution of this exercise is on
page~\pageref{solution:\ExerciseID}.%
}%
\vspace{\baselineskip}
}
\xsimsetup{
exercise/template = tcolorbox ,
solution/template = tcolorbox
}
\usepackage{fmtcount,etoolbox}
\newrobustcmd*\mystringnum[2]{\csname#1stringnum\endcsname{#2}}
\renewcommand*\thechapter{\mystringnum{number}{\value{chapter}}}
\renewcommand*\thesection{\arabic{chapter}.\arabic{section}}
% for the header: \MakeUppercase{\mystringnum{number}{1}}
% => \mystringnum{NUMBER}{1}
% => \NUMBERstringnum{1}
% elsewhere: \mystringnum{number}{1}
% => \numberstringnum{1}
\usepackage{totcount}
\regtotcounter{chapter}
\newcounter{chapters}
\setcounter{chapters}{1}
\newcommand*\printsolutionsperchapter{%
\whileboolexpr
{ test { \ifnumless {\value{chapters}} {\totvalue{chapter}+1} } }
{%
\printsolutions[chapter=\value{chapters},headings-template=per-chapter]
\stepcounter{chapters}%
}%
}
\begin{document}
\chapter{The First Chapter}
\begin{exercise}
Compute the derivative of the following function:
\begin{equation*}
f(x) = \sin((\sin x)^2)
\end{equation*}
\end{exercise}
\begin{solution}
The derivative is:
\begin{align*}
f’(x) &= ( \sin((\sin x)^2) )'
= \cos((\sin x)^2) \cdot 2\sin x \cos x
\end{align*}
\end{solution}
\begin{exercise}
Compute the derivative of the following function:
\begin{equation*}
f(x) = \sin((\sin x)^2)
\end{equation*}
\end{exercise}
\begin{solution}
The derivative is:
\begin{align*}
f’(x) &= ( \sin((\sin x)^2) )'
= \cos((\sin x)^2) \cdot 2\sin x \cos x
\end{align*}
\end{solution}
\chapter{The Second Chapter}
\begin{exercise}
Compute the derivative of the following function:
\begin{equation*}
f(x) = (x^2+1) \sqrt{x^4+1}
\end{equation*}
\end{exercise}
\begin{solution}
The derivative is:
\begin{align*}
f’(x) &= ( (x^2+1) \sqrt{x^4+1} )'
= 2x\sqrt{x^4+1} + \frac{2x^3(x^2+1)}{\sqrt{x^4+1}}
\end{align*}
\end{solution}
\clearpage
\section{Solutions of the Exercices}
\printsolutionsperchapter
\end{document}
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