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Format Using TColorbox

TeX - LaTeX Asked by NIck Bennett on June 4, 2021

I am new to the tcolorbox package. I am having trouble with adding text within a box containing a tikz picture. The spacing is very far apart. I was wondering if there is an easy fix to this. This happens right at the beginning, line 33.

Nick

documentclass{exam}
usepackage[utf8]{inputenc}
usepackage[most]{tcolorbox}
usepackage{amsfonts}
usepackage{amsmath}
usepackage{amssymb}
usepackage{tikz}
usepackage{pgfplots}
pgfplotsset{compat=1.17}
usetikzlibrary{arrows,shapes,positioning}

usepackage[margin=.5in]{geometry}
setlength{columnsep}{0pt}
title{2.4 Connecting Differentiability and Continuity:  When Derivatives Do and Do Not Exist}
date{}
begin{document}

maketitle
noindentrule{18cm}{0.4pt}

begin{tcolorbox}[colback=white,enhanced,title=Large{textbf{How $f^prime(a)$ Might Fail to Exist}},
attach boxed title to top center=
{yshift=-3mm,yshifttext=-1mm},
boxed title style={size=small,colback=blue!75}]
    begin{tcbitemize}[raster columns=2,raster equal height,
colback=white,fonttitle=bfseries]

A function will fail to have a derivative at a point if the limit at that point does not approach $a$.  There are four ways in which a derivative may fail to exist. 
    vspace{.25in}
tcbitem[center title,squeezed title*={Sharp Corner}]

begin{tcolorbox}
a emph{corner} where one-sided 
derivativesfillin
end{tcolorbox}

begin{tikzpicture}
        begin{axis}[
grid style={blue!75},
axis x line = center,
axis y line = center,
xmin = -5,   xmax = 5,
ymin = -5,  ymax = 5,
xtick = {-5,-4,...,5},
ytick = {-5,-4,...,5},
grid = both,
xlabel={$x$},
  ylabel={$y$},
  xlabel style={above right},
  ylabel style={above right},
axis line style={latex-latex},
]
addplot[latex-latex,samples=200,color=red, ultra thick, domain=-3:3]{abs(x)};

end{axis}
end{tikzpicture}

tcbitem[center title,squeezed title*={A Cusp}]
begin{tikzpicture}
        begin{axis}[
grid style={blue!75},
axis x line = center,
axis y line = center,
xmin = -5,   xmax = 5,
ymin = -5,  ymax = 5,
xtick = {-5,-4,...,5},
ytick = {-5,-4,...,5},
grid = both,
xlabel={$x$},
  ylabel={$y$},
  xlabel style={above right},
  ylabel style={above right},
axis line style={latex-latex},
]
addplot[latex-latex,samples=200,color=red, ultra thick, domain=-3:3]{abs(x)^(2/3)};

end{axis}
end{tikzpicture}
tcbitem[center title,squeezed title*={Vertical Tangent}]
 begin{tikzpicture}
        begin{axis}[
grid style={blue!75},
axis x line = center,
axis y line = center,
xmin = -5,   xmax = 5,
ymin = -5,  ymax = 5,
xtick = {-5,-4,...,5},
ytick = {-5,-4,...,5},
grid = both,
xlabel={$x$},
  ylabel={$y$},
  xlabel style={above right},
  ylabel style={above right},
axis line style={latex-latex},
]
addplot[<->] expression[ultra thick,red,domain=-5:5,samples=100]{x/abs(x)*abs(x)^(1/3)};
end{axis}
end{tikzpicture}
 tcbitem[center title, squeezed title*={Jump Discontinuity}]
 begin{tikzpicture}
        begin{axis}[
grid style={blue!75},
axis x line = center,
axis y line = center,
xmin = -5,   xmax = 5,
ymin = -5,  ymax = 5,
xtick = {-5,-4,...,5},
ytick = {-5,-4,...,5},
grid = both,
xlabel={$x$},
  ylabel={$y$},
  xlabel style={above right},
  ylabel style={above right},
axis line style={latex-latex},
]
addplot[ultra thick,color=red,domain=0:3] {1};
addplot[ultra thick,color=red,domain=-3:0] {-1};
addplot[color=red,mark=*,only marks] coordinates {(0,1)};
addplot[color=red,mark=*,fill=white,only marks] coordinates {(0,-1)};
end{axis}
end{tikzpicture}
end{tcbitemize}

end{tcolorbox}

end{document}

One Answer

enter image description here

Change the following line of code -- adding [halign= left]

begin{tcolorbox}[halign= left]
 a emph{corner} where one-sided derivativesfillin
end{tcolorbox}

Correct answer by js bibra on June 4, 2021

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