Jtdylktuy

I am trying to replicate this diagram. My confusion is due to the reason that I am not starting in an tikzpicture enviroment but in an align* environment. Here is a skeleton of the diagram. I believe this is a correct beginning:

documentclass{article}

usepackage{tikz}

usepackage{mathtools,amsmath,geometry}

usetikzlibrary{tikzmark}



begin{document}

begin{align*}

         h(x)&=ln (x^{2}-8x) && \

             &               && \

             &               && \

h^{prime}(x)&=dfrac{textcolor{red}{2x-8}}{textcolor{blue}{x^{2}-8x}} && \      

end{align*}

end{document}

This outputs

My goal is to create:

Creating the circles 1 and 2 are possible but programming it right in the context of the labels and arrows is what I am not sure how to approach?
Tikzmark is the right tool here.

Something like this? (EDIT: Added descriptions, thanks to ArtificialStupidity for speeding me up!)

1. The braces are done with decorations.pathreplacing. You could also do them with underbrace and overbrace.


2. Instead of adding several empty lines, you can produce vertical gaps by adding [distance] after \. I added one more such distance since the annotations are drawn in overlay mode and would run in the text otherwise.


3. The nodes with texts are placed along the vertical line at certain positions indicated by pos=... (and then moved to the right).

documentclass{article}

usepackage{tikz}

usepackage{mathtools,amsmath,geometry}

usetikzlibrary{tikzmark,decorations.pathreplacing}



begin{document}

begin{align*}

         h(x)&=ln tikzmarknode{ln}{(x^{2}-8x)} && \[6em]

h^{prime}(x)&=dfrac{tikzmarknode[text=red]{num}{2x-8}}{tikzmarknode[text=blue]{den}{x^{2}-8x}}

&& \[2em]      

end{align*}

begin{tikzpicture}[overlay,remember picture]

draw[red,thick,decorate,decoration={brace,mirror}] (ln.south west) -- (ln.south east)

coordinate[midway,below=0.5em](aux1);

draw[red,thick,decorate,decoration={brace,raise=1pt}] (num.north west) -- (num.north east)

coordinate[midway,above=0.5em](aux2);

draw[red,thick,decorate,decoration={brace,mirror}] (den.south west) -- (den.south east)

coordinate[midway,below=0.5em](aux3);

path (aux1) -- (aux2) coordinate[midway] (aux4);

draw[-latex,red] (aux1) -- (aux4-|aux1) -| (aux2)

node[pos=0.5,left=0.25em,circle,black,draw,inner sep=1pt]{1};

draw[latex-,red] (aux3) |- ++ (3em,-2em)

node[pos=0.5,left=0.25em,circle,black,draw,inner sep=1pt]{2} |-(aux4-|aux1)

node[pos=0.2,right=1em,circle,black,draw,inner sep=1pt,

label={[blue]right:Divide by the ``inside'' function.}] {2}

node[pos=0.4,right=1em,circle,black,draw,inner sep=1pt,

label={[red]right:Differentiate the ``inside'' function.}] {1};

end{tikzpicture}

Hello

end{document}