1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
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}
|
