File:Hyperbolic and exponential; cosh.svg

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Original file(SVG file, nominally 389 × 530 pixels, file size: 72 KB)

Summary

Hyperbolic functions can be defined by exponential functions. This graph shows that the hyperbolic cosine function is an average of exponential functions as \cosh(x)=\frac{e^x+e^{-x}}{2}. Created using python and matplotlib library.

Copyright status:

GNU Free Documentation License, Version 1.2

Source:

https://commons.wikimedia.org/wiki/User:Krishnavedala

File history

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Date/TimeThumbnailDimensionsUserComment
current06:03, 21 April 2018Thumbnail for version as of 06:03, 21 April 2018389 × 530 (72 KB)Thales (talk | contribs)Hyperbolic functions can be defined by exponential functions. This graph shows that the hyperbolic cosine function is an average of exponential functions as <math>\cosh(x)=\frac{e^x+e^{-x}}{2}</math>. Cr...
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