Hyperbolic cosine function

This article is about a particular function from a subset of the real numbers to the real numbers. Information about the function, including its domain, range, and key data relating to graphing, differentiation, and integration, is presented in the article.
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Definition

The hyperbolic cosine function denoted $\cosh$, is defined as follows:

$\cosh x = \frac{e^x + e^{-x}}{2}$

Here, $e^x$ denotes the exponential function.

More abstractly, $\cosh$ is the even part of the exponential function.