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diff --git a/Master/texmf-dist/doc/latex/guide-to-latex/exercises/chap7/exer7-13.tex b/Master/texmf-dist/doc/latex/guide-to-latex/exercises/chap7/exer7-13.tex new file mode 100644 index 00000000000..20d18995199 --- /dev/null +++ b/Master/texmf-dist/doc/latex/guide-to-latex/exercises/chap7/exer7-13.tex @@ -0,0 +1,27 @@ +\documentclass{article} +\begin{document} +\noindent\textbf{First solution example}:\\[1ex] +The solution for the system equation +\[ \renewcommand{\arraystretch}{1.2} + F(x,y) = 0\quad\mbox{and}\quad + \left|\begin{array}{ccc} + F''_{xx} & F''_{xy} & F'_x\\ + F''_{yx} & F''_{yy} & F'_y\\ + F'_x & F'_y & 0 + \end{array}\right| = 0 +\] +yields the coordinates for the possible inflection points of $F(x,y) = 0$. + +\bigskip +\noindent\textbf{Second solution example}:\\[1ex] +The solution for the system equation +\[ \renewcommand{\arraystretch}{1.2} + F(x,y) = 0\quad\mbox{and}\quad\begin{array}{|ccc|} + F''_{xx} & F''_{xy} & F'_x\\ + F''_{yx} & F''_{yy} & F'_y\\ + F'_x & F'_y & 0 + \end{array} = 0 +\] +yields the coordinates for the possible inflection points of $F(x,y) = 0$. +\end{document} + |