File:Hyperbolic Tangent.svg
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English: Hyperbolic Tangent function plot
tanh(x) = (e^x - e^-x) / (e^x + e^-x) Plotted with cubic bezier-curves. The bezier-control-points are calculated to give a very accurate result. Asymptotes are included but commented out. Symbols are embeded in "Computer Modern" (TeX) font.Deutsch: Tangens Hyperbolicus Plot |
| Date | |
| Source | Own work |
| Author | Geek3 |
| SVG development |  This diagram was created with a text editor. |
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I, the copyright holder of this work, hereby publish it under the following licenses:
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:40, 5 September 2009 | | 490 × 270 (12 KB) | Geek3 (talk | contribs) | nicer version |
| 22:04, 10 June 2008 |  | 420 × 220 (12 KB) | Geek3 (talk | contribs) | {{Information |Description={{en|1=Hyperbolic Tangent function plot tanh(x) = (e^x - e^-x) / (e^x + e^-x) Plotted with cubic bezier-curves. The bezier-controll-points are calculated to give a very accurate result. Asymptotes are included but commented out |
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File usage on Commons
The following 47 pages use this file:
- Trigonometric functions
- File:Division ((cos x)^2)-1; x^2.png
- File:Division ((cosh x)^2)-1; x^2.png
- File:Division ((cosh x)^2)-1; x^2 (detail).png
- File:Division (cos x)-1; (cos x)^2-1.png
- File:Division (cos x)-1; (cos x)^2-1 (derivatives).png
- File:Division (cos x)-1; (cosh x)-1 (derivatives).png
- File:Division (cos x)-1; (sin x)^2.png
- File:Division (cos x)-1; (sin x)^2 (derivatives).png
- File:Division (cos x)-1; (sinh x)^2.png
- File:Division (cos x)-1; (sinh x)^2 (derivatives).png
- File:Division (cos x)-1; x^2 (derivatives).png
- File:Division (cos x)-1; x^2 (detail).png
- File:Division (cosh x)-1; (sin x)^2 (derivatives).png
- File:Division (cosh x)-1; (sinh x)^2.png
- File:Division (cosh x)-1; (sinh x)^2 (derivatives).png
- File:Division (cosh x)-1; x^2.png
- File:Division (cosh x)-1; x^2 (derivatives).png
- File:Division (cosh x)-1; x^2 (detail).png
- File:Division (x+1)div(x-1)+1; (x-1)div(x+1)+1.png
- File:Division 1+(1 div x-1); 1-(1 div x+1).png
- File:Division 2^(x+1)-2; 0,5^(x+1)-0,5.png
- File:Division 2^(x+1)-2; 0,5^x-1.png
- File:Division arsinh x; 20^x - 1.png
- File:Division arsinh x; e^x - 1.png
- File:Division cos(x)-1; cosh(x)-1.png
- File:Division cos(x)-1; x^2.png
- File:Division cosh(x)-1; (sin x)^2.png
- File:Division coth x; x^(-1).png
- File:Division e^(x)-1; (x+1)^2-1.png
- File:Division e^(x+1)-e; 0,5^(x+1)-0,5.png
- File:Division e^(x+1)-e; e^x-1.png
- File:Division e^x-1; cosh(x+arcosh(2))-2.png
- File:Division e^x - 1; 20^x - 1.png
- File:Division sin(x); sinh(x).png
- File:Division tanh x; 20^x - 1.png
- File:Division tanh x; arsinh x.png
- File:Division tanh x; e^x - 1.png
- File:Division tanh x; sinh x.png
- File:Division tanh x; x.png
- File:Division x; 20^x - 1.png
- File:Fibonacci explicit.png
- File:Fibonacci explicit (detail).png
- File:Hyperbolic and exponential; cosh.png
- File:Hyperbolic and exponential; sinh.png
- File:Tanh.png
- Template:Created with Ultiplot
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- Kurs:Mathematik für Anwender (Osnabrück 2011-2012)/Teil I/Vorlesung 18
- Hyperbelfunktionen/R/Einführung/Textabschnitt
- Kurs:Mathematik für Anwender (Osnabrück 2019-2020)/Teil I/Vorlesung 13
- Kurs:Mathematik für Anwender (Osnabrück 2019-2020)/Teil I/Vorlesung 13/kontrolle
- Kurs:Mathematik für Anwender (Osnabrück 2019-2020)/Teil I/Repetitorium/Vorlesung 13
- Kurs:Mathematik für Anwender (Osnabrück 2020-2021)/Teil I/Vorlesung 13
- Kurs:Mathematik für Anwender (Osnabrück 2020-2021)/Teil I/Vorlesung 13/kontrolle
- Kurs:Mathematik für Anwender (Osnabrück 2011-2012)/Teil I/Vorlesung 18/kontrolle
- Kurs:Mathematik für Anwender (Osnabrück 2023-2024)/Teil I/Vorlesung 13
- Kurs:Mathematik für Anwender (Osnabrück 2023-2024)/Teil I/Vorlesung 13/kontrolle
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