Graphics, Figures & Tables ⇒ What's wrong with my table?

[Singularity]

What's wrong with my table? The build process just hangs and never gives me an error (so I can't even investigate myself).

Even if I comment all but the first line of the table, I still get a "misplaced alignment tab character" error.

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\documentclass[14pt,fleqn,reqno]{extarticle}
\usepackage{amsfonts,amsmath,amssymb,amsthm}
\usepackage{bm,nicefrac}

\usepackage{array}					% Provides for a more flexible array and tabular environment
\usepackage{booktabs}				% For fancy stuff in arrays and tables, like the following column definitions
\newcolumntype{L}{>{\begin{math}}l<{\end{math}}}%
\newcolumntype{C}{>{\begin{math}}c<{\end{math}}}%
\newcolumntype{R}{>{\begin{math}}r<{\end{math}}}%
\usepackage{multirow}

                                 
\begin{document}

\begin{tabular}{lLL}}
	Derivative & Newton notation                                              & Liebnitz notation \\
	\hrule
	First      & y^\prime \text{ or } f^\prime(x)                             & \frac{\dif y}{\dif x}     \\
	Second     & y^{\prime\prime} \text{ or } f^{\prime\prime}(x)             & \frac{\dif^2 y}{\dif x^2} \\
	Third      & y^{\prime\prime\prime} \text{ or } f^{\prime\prime\prime}(x) & \frac{\dif^3 y}{\dif x^3} \\
	Fourth     & y^{(4)} \text{ or } f^{(4)}(x)                               & \frac{\dif^4 y}{\dif x^4} \\
	\begin{center}
	\ldots
	\end{center} \\
	$n$th      & y^{(n)} \text{ or } f^{(n)}(x)                               & \frac{\dif^n y}{\dif x^n}
\end{tabular}


\end{document}

I've used this type of table before

[cgnieder]

First problem: you have an extra closing brace here which you need to delete:

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\begin{tabular}{lLL}}

Second problem: you can't use \hrule. Replace it with \hline or (as you're loading booktabs) \midrule.

Third problem (maybe only in this example): \dif is undefined.

Fourth problem: you can't use the {center} environment here. I'd use \multicolumn for a centred cell (and probably \vdots):

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\multicolumn{1}{c}{\vdots}

I'd also use \text for the headings in the math columns:

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Derivative & \text{Newton notation} & \text{Liebnitz notation} \\

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\begin{tabular}{lLL}
  Derivative & \text{Newton notation} & \text{Liebnitz notation} \\
  \midrule
  First      & y^\prime \text{ or } f^\prime(x) & \frac{\dif y}{\dif x}     \\
  Second     & y^{\prime\prime} \text{ or } f^{\prime\prime}(x)
             & \frac{\dif^2 y}{\dif x^2} \\
  Third      & y^{\prime\prime\prime} \text{ or } f^{\prime\prime\prime}(x)
             & \frac{\dif^3 y}{\dif x^3} \\
  Fourth     & y^{(4)} \text{ or } f^{(4)}(x)  & \frac{\dif^4 y}{\dif x^4} \\
        \multicolumn{1}{c}{\vdots} \\
  $n$th      & y^{(n)} \text{ or } f^{(n)}(x)  & \frac{\dif^n y}{\dif x^n}
\end{tabular}

[Singularity]

Whew!
Thanks.