[Tex/LaTex] fractions in table

Question

I have a table with three columns, in the second and third sometimes appear fractions:

\documentclass{scrartcl}
\usepackage{array}
\newcolumntype{C}{>{$}c<{$}}
\begin{document}
\def\arraystretch{1.5}
\begin{tabular}{|c|C|C|C|c|}
\hline Ableitung des Vielfachen  & c f(x) & c f'(x) \\ 
\hline Quotientenregel & \frac{f(x) }{ g(x)} &  \frac{  f'(x) g(x)  -  f(x) g'(x) }{g(x)^2} \\ 
\hline
\end{tabular}
\end{document} 

How to make the parts of the fraction the same high as the parts above them without the fractions (doubling the rowheight when needed, also not shrinking the fontsize)?

Answer 1

Use \dfrac from amsmath for this:

% arara: pdflatex

\documentclass{scrartcl}
\usepackage{mathtools} % loads amsmath
\usepackage{booktabs}
\usepackage{array}
\newcolumntype{C}{>{$}c<{$}}

\begin{document}
    \begin{tabular}{lCC}\toprule
        Ableitung des Vielfachen  & c f(x) & c f'(x) \\\midrule
        Quotientenregel & \dfrac{f(x)}{g(x)} & \dfrac{  f'(x) g(x)  -  f(x) g'(x)}{g(x)^2} \\ % I corrected the math here...
        \bottomrule
    \end{tabular}
\end{document}