Doconce demo page

Here is some simple mathematics:



\begin{align} f(x) &= \frac{1}{1 + x^2}, \\ f'(x) & =-\frac{2x}{(1+x^2)^2} \end{align} $$ which can be implemented in a computer code:

A plot of the function $$f(x)$$ appears below.



Here is the derivative $$f'(x)$$ (with figure caption and label, which enables referring to the figure later):



Movies can also be embedded:


 * http://www.youtube.com/watch?v=75Ju0eM5T2c

The elements above are generated by the following Doconce code.