Hyperbolic cosine

Metadata
aliases: [Cosh]
shorthands: {
    "paren": "\left(  \right)",
    "align": "\begin{align}\n\n\end{align}"
}
created: 2022-04-21 21:21:58
modified: 2022-04-23 12:37:43

The even part of the exponential function:

The notation is also widely used.

Derivative

Where is the hyperbolic sine.

Arc length

A characteristic property of is that the area under the curve of it over a finite interval is always equal to the arc length to th arc length corresponding to that interval:

Taylor series

Plot