Linear Approximation 2d

linear-approximation-2d

Edit and compile if you like:

\documentclass{article}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{math}
\usepackage[active,tightpage]{preview}
\PreviewEnvironment{tikzpicture}
\setlength\PreviewBorder{0.125pt}
%
% File name: linear-approximation-2d.tex
% Description:
% The linear approximation for a function of one variable $y = f(x)$ is shown.
%
% Date of creation: March, 7th, 2021.
% Date of last modification: October, 9th, 2022.
% Author: Efra�n Soto Apolinar.
% https://www.aprendematematicas.org.mx/author/efrain-soto-apolinar/instructing-courses/
% Source: page 15 of the
% Glosario Ilustrado de Matem\'aticas Escolares.
% https://tinyurl.com/5udm2ufy
%
% Terms of use:
% According to TikZ.net
% https://creativecommons.org/licenses/by-nc-sa/4.0/
% Your commitment to the terms of use is greatly appreciated.
%\begin{document}
%
\begin{tikzpicture}
\pgfmathsetmacro{\xi}{2.5}
\pgfmathsetmacro{\step}{1.0}
\pgfmathsetmacro{\xf}{\xi+\step}
\pgfmathsetmacro{\yi}{exp(0.35*\xi)}
\pgfmathsetmacro{\yf}{exp(0.35*\xf)}
\pgfmathsetmacro{\yfa}{0.35*exp(0.35*\xi)*(\xf-\xi)+\yi}
\pgfmathsetmacro{\ym}{0.5*(\yi+\yfa)}
% Coordinate axis
\draw[thick,->] (-0.125,0) -- (5,0) node [right]{$x$};
\draw[thick,->] (0,-0.125) -- (0,4.5) node [above]{$y$};
% Graph of the function $y = y(x)$
\draw[red,thick,->] plot[domain=0:4.25] (\x,{exp(0.35*\x)}) node[right]{\footnotesize$y = y(x)$};
% The linear approximation
\draw[blue,very thick] (\xi,\yi) -- (\xf,\yfa)
 
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Click to download: linear-approximation-2d.texlinear-approximation-2d.pdf
Open in Overleaf:
linear-approximation-2d.tex
See more on the author page of Efraín Soto Apolinar.

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