You have at least three options here:
Increasing the array stretch factor using \renewcommand{\arraystretch}{<factor>} where <factor> is a numeric value:
\documentclass{article}
\begin{document}
\renewcommand{\arraystretch}{2}
\begin{tabular}{c c}
$f^{(n)}(x)$ & $f^{(n)}(0)$ \\\hline
$-2xe^{-x^{x^{x^2}}}$ & 0
\end{tabular}
\end{document}

Explicitly specifying the row skip using \\[<len>] where <len> is any length:
\documentclass{article}
\begin{document}
\begin{tabular}{c c}
$f^{(n)}(x)$ & $f^{(n)}(0)$ \\[1cm] \hline
$-2xe^{-x^{x^{x^2}}}$ & 0
\end{tabular}
\end{document}

Modifying the array package's \extrarowheight length using \setlength{\extrarowheight}{<len>}, where <len> is any length:
\documentclass{article}
\usepackage{array}% http://ctan.org/pkg/array
\begin{document}
\setlength{\extrarowheight}{20pt}
\begin{tabular}{c c}
$f^{(n)}(x)$ & $f^{(n)}(0)$ \\\hline
$-2xe^{-x^{x^{x^2}}}$ & 0
\end{tabular}
\end{document}

In the above examples, the \hline was used to illustrate the effect of the different styles used. The choice depends on the specific usage/typesetting of the tabular within your document.
Finally, if the contents of your entire tabular is math, you could typeset it in an array environment:
\[
\begin{array}{c c}
f^{(n)}(x) & f^{(n)}(0) \\
-2xe^{-x^{x^{x^2}}} & 0
\end{array}
\]