I have some mathematical expressions written in LaTeX that I would like to put on a webpage. However, they use packages that don\'t seem to be included in MathJax (e.g. yta
Is there a way of using LaTeX packages with MathJax? If so, how would I do this?
First the StackExchange site must support MathJax.
You need to use the correct syntax for the particular site .
Some sites require a backslash before the dollar sign, because when people try to write "it costs $10 shipping each time" they end up with "it costs $10 shippingeachtime", so to avoid excessive questions about why that happens the dollar sign must be escaped to use MathJax on some sites.
You need to use $\require{\packagename}$ somewhere on the page, and it affects the whole page (including other people's posts).
The site in question needs to support the extension. The official (but incomplete) list is here: "MathJax third-party extensions".
The most complete MathJax Tutorial and Links answer is over at QC.meta.SE.
Specific to your question, "ytableau" didn't work on the site where I tested these examples (physics.SE) but the other packages I demonstrate do work:
$\require{\AMScd}$
$$\begin{CD}
A @<<< B @>>> C\\
@. @| @AAA\\
@. D @= E
\end{CD}$$
$\require{\mhchem}$
$$\ce{Zn^2+ <=>[+ 2OH-][+ 2H+]
$\underset{\text{zinc hydroxide}}{\ce{Zn(OH)2 v}}
$ <=>[+ 2OH-][+ 2H+]
$\underset{\text{tetrahydroxozincate(II)}}{\ce{[Zn(OH)4]^2-}}$}$$
The mhchem example was obtained from the MathJax-mhchem webpage.
Test a short example to determine if and how it works. Worst come to worst you can compose on a supporting site, capture and crop a screenshot, then enclose the MathJax in HTML comments and upload the screenshot - if in the future MathJax is enabled the code will be available in your question or answer within the HTML comment.