[Stack-cvs] stack-1-0/lang/en/doc student_factsformula.php,NONE,1.1

[Chris S. <san...@us...>]

Update of /cvsroot/stack/stack-1-0/lang/en/doc
In directory sc8-pr-cvs1.sourceforge.net:/tmp/cvs-serv28391/lang/en/doc

Added Files:
	student_factsformula.php 
Log Message:
Hints added

--- NEW FILE: student_factsformula.php ---
<?php
/** 
* This file contains standard formulae and hints.
* These are provided to allow a teacher to use materials and still have
* a consistent look and feel to standard formulae and results.
*
* Each of these should be a static LaTeX string.
*
* This file contains a list of static strings which are used by docuementation.php
*
* @package documentation
* @subpackage Stack
*/

$stackFact['calc_product_rule']['name'] = 'The Product Rule';
$stackFact['calc_product_rule']['fact'] = 'The following rule allows one to differentiate functions built up
by compositions. Let us assume that we have some function which we
can choose to write as a composition $g(f(x))$. Let $u=f(x)$, then
$$
\frac{\mathrm{d}}{\mathrm{d}{x}} (g(f(x)) = \left(\frac{\mathrm{d}}{\mathrm{d}{x}} f(x)\right)\left(\frac{\mathrm{d}}{\mathrm{d}{u}} g(u)\right),
$$ or, using alternative notation, $$ (g(f(x)))\' = f\'(x)g\'(f(x)). $$';

?>