\documentclass[a4paper,twoside, 11pt]{article}

% Packages
% ---------------------

\usepackage{amsmath} % Needed for command eqref

% Page settings
% ---------------------

\usepackage[top=2cm, bottom=1.8cm,left=2.5cm,right=2.5cm]{geometry} %  Page margins
\setlength{\parskip}{\baselineskip} % Add space between paragraphs
\parindent=0cm % Remove the paragraph indent of the first line
\addtolength{\jot}{2\jot} % Double the line between equations

\begin{document}

\begin{align*}
    (e^x)' &= e^x\\
    (a^x)' &= (\ln{a})a^x, \; a > 0\\
    \sin'(x) &= \cos x\\
    \cos'(x) &= -\sin x\\
    \tan'(x) &= \frac{1}{\cos^2 x}\\
    \ln'(x) &= \frac{1}{x}\\
    \arcsin'(x) &= \frac{1}{\sqrt{1 - x^2}}\\
    \arccos'(x) &= -\frac{1}{\sqrt{1 - x^2}}\\
    \arctan'(x) &= \frac{1}{1 + x^2}\\
\end{align*}

\end{document}