\documentclass[10pt,a4paper]{article}

% Packages
\usepackage{fancyhdr}           % For header and footer
\usepackage{multicol}           % Allows multicols in tables
\usepackage{tabularx}           % Intelligent column widths
\usepackage{tabulary}           % Used in header and footer
\usepackage{hhline}             % Border under tables
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\usepackage{lastpage}           % Needed for total page number
\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{chloeschmidt}
\pdfinfo{
  /Title (calculus-exam-2.pdf)
  /Creator (Cheatography)
  /Author (chloeschmidt)
  /Subject (calculus exam 2 Cheat Sheet)
}

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% This two commands together give roughly
% the right line height in the tables
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\onehalfspacing

% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
\newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols
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\color{TextColor}

% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
\fancyfoot{} % Set footer to blank
\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{calculus exam 2 Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{chloeschmidt} via \textcolor{DarkBackground}{\uline{cheatography.com/165721/cs/34693/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}chloeschmidt \\
  \uline{cheatography.com/chloeschmidt} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 15th October, 2022.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
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  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{4}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{{\bf{Basic Properties/Formulas/Rules}}}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{\{\{bt\}\}(fg)' = f' g + f g'} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{\{\{bt\}\}(f/g)' = (f' g - f g') / (g\textasciicircum{}2\textasciicircum{})} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{\{\{bt\}\}d/dx(f(g(x))) = f'(g(x))g'(x)} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{\{\{bt\}\}d/dx(e\textasciicircum{}g(x)\textasciicircum{}) = g'(x)e\textasciicircum{}g(x)\textasciicircum{}} \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{\{\{bt\}\}d/dx(lng(x)) = g'(x)/g(x)} \tn 
% Row Count 5 (+ 1)
% Row 5
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{\{\{bt\}\}d/dx(x\textasciicircum{}n\textasciicircum{}) = nx\textasciicircum{}n-1\textasciicircum{}} \tn 
% Row Count 6 (+ 1)
% Row 6
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{\{\{bt\}\}d/dx(c) = 0, c is any constant} \tn 
% Row Count 7 (+ 1)
% Row 7
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{\{\{bt\}\}b\textasciicircum{}x\textasciicircum{} = e\textasciicircum{}xlnb\textasciicircum{}} \tn 
% Row Count 8 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{x{1.47619 cm} x{1.95681 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{{\bf{Common Derivatives}}}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\emph{Polynomials}} & d/dx(c) = 0 \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
 & d/dx(x) = 1 \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
 & d/dx(cx) = c \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
 & d/dx(x\textasciicircum{}n\textasciicircum{}) = nx\textasciicircum{}n-1\textasciicircum{} \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
 & d/dx(cx\textasciicircum{}n\textasciicircum{}) = ncx\textasciicircum{}n-1\textasciicircum{} \tn 
% Row Count 5 (+ 1)
% Row 5
\SetRowColor{white}
{\emph{Trig Functions}} & d/dx(sinx) = cosx \tn 
% Row Count 6 (+ 1)
% Row 6
\SetRowColor{LightBackground}
 & d/dx(cosx) = -sinx \tn 
% Row Count 7 (+ 1)
% Row 7
\SetRowColor{white}
 & d/dx(tanx) = sec\textasciicircum{}2\textasciicircum{}x \tn 
% Row Count 8 (+ 1)
% Row 8
\SetRowColor{LightBackground}
 & d/dx(secx) = secxtanx \tn 
% Row Count 9 (+ 1)
% Row 9
\SetRowColor{white}
 & d/dx(cscx) = -cscxcotx \tn 
% Row Count 10 (+ 1)
% Row 10
\SetRowColor{LightBackground}
 & d/dx(cotx) = -csc\textasciicircum{}2\textasciicircum{}x \tn 
% Row Count 11 (+ 1)
% Row 11
\SetRowColor{white}
{\emph{Inverse Trig Functions}} & d/dx(sin\textasciicircum{}-1\textasciicircum{}x) = 1/√1-x\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 13 (+ 2)
% Row 12
\SetRowColor{LightBackground}
 & d/dx(cos\textasciicircum{}-1\textasciicircum{}x) = -1/√1-x\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 15 (+ 2)
% Row 13
\SetRowColor{white}
 & d/dx(tan\textasciicircum{}-1\textasciicircum{}x) = 1/1+x\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 17 (+ 2)
% Row 14
\SetRowColor{LightBackground}
 & d/dx(sec\textasciicircum{}-1\textasciicircum{}x) = 1/|x|√x\textasciicircum{}2\textasciicircum{}-1 \tn 
% Row Count 19 (+ 2)
% Row 15
\SetRowColor{white}
 & d/dx(csc\textasciicircum{}-1\textasciicircum{}x) = -1/|x|√x\textasciicircum{}2\textasciicircum{}-1 \tn 
% Row Count 21 (+ 2)
% Row 16
\SetRowColor{LightBackground}
 & d/dx(cot\textasciicircum{}-1\textasciicircum{}x) = -1/1+x\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 23 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}