I am wondering if there is a relatively easy and straightforward way to get my equals signs under "Derivates" and "Integrals" to align, and to have the d/dx and integrals signs aligned as well.
\documentclass{article}
\usepackage{multicol,amsmath,physics}
\begin{document}
\section*{Integrals}
\begin{multicols}{2}
\noindent
\begin{alignat*}{2}
&\int k \dd{x}&&=kx+c\\
&\int x^n \dd{x}&&=\frac{1}{n+1} x^{n+1}+c
\end{alignat*}
\columnbreak
\begin{alignat*}{2}
&\int k f(x) \dd{x} &&= k \int f(x) \dd{x}\\
&\int \frac{1}{x} \dd{x}&&=\ln |x| + c
\end{alignat*}
\end{multicols}
\section*{Derivatives}
\begin{multicols}{2}
\noindent
\begin{alignat*}{2}
&\dv{x}c&& = 0\\
&\dv{x} \sqrt{x}&&=\frac{1}{2\sqrt{x}}
\end{alignat*}
\columnbreak
\begin{alignat*}{2}
&\dv{x} x^n&&=nx^{n-1}
\end{alignat*}
\end{multicols}
\end{document}