Help/TeX2pngPlugin

The TeX2png plugin allows to display mathematical formulae in a Wiki page.

Usage

<<TeX2png text="$$(a+b)^n=\sum_{k=0}^n{n\choose k}a^k b^{n-k}$$">>

gives

Arguments

There is only one argument which is the text of the mathematical expression. This text must be enclosed by a dollar $ within a paragraph or two dollars $$ on a separate line. In the last case, all is centered.

To write mathematical formulae, the syntax is the one of LaTeX.

Caveats

This plugin is only to produce readable mathematical formulae. Any other text is not allowed : so if an expression is not enclosed by dollars then it will be displayed by a red text. It is all the same possible to display raw text as Cannot run TeX2png plugin, “/usr/bin/latex” does not exist by using :

<<TeX2png text="$\textrm{\LaTeX}$">>

This* plugin is not able to produce sophisticated mathematicals texts with links, cross references... For that, you can use for example LaTeX2html.

Examples

Some Greeks letters : Cannot run TeX2png plugin, “/usr/bin/latex” does not exist, Cannot run TeX2png plugin, “/usr/bin/latex” does not exist, ... and a formula Cannot run TeX2png plugin, “/usr/bin/latex” does not exist to test display in a paragraph.

Exercise 1 Consider the function Cannot run TeX2png plugin, “/usr/bin/latex” does not exist

#Give the largest real domain for which f(x) is well defined. #Give a domain on which the function is one-to-one. Using this domain derive a formula for the inverse function Cannot run TeX2png plugin, “/usr/bin/latex” does not exist. #Calculate the derivative f'(x).

Exercise 2 Consider the function :

#Show that for all r > 0 :Cannot run TeX2png plugin, “/usr/bin/latex” does not exist Help : you can use polar coordinates. #Hence find the limit of Cannot run TeX2png plugin, “/usr/bin/latex” does not exist as x tends Cannot run TeX2png plugin, “/usr/bin/latex” does not exist.