Difference between revisions of "Arcsinh"
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[[Derivative of arcsinh]]<br /> | [[Derivative of arcsinh]]<br /> | ||
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Latest revision as of 23:28, 11 December 2016
The inverse hyperbolic sine function $\mathrm{arcsinh}$ is function is the inverse function of the hyperbolic sine function. It may be defined by $$\mathrm{arcsinh}(z)=\log \left(z + \sqrt{1+z^2} \right),$$ where $\log$ denotes the logarithm.
Plot of $\mathrm{arcsinh}$ on $[-10,10]$.
Domain coloring of of $\mathrm{arcsinh}$.
Properties
Derivative of arcsinh
Antiderivative of arcsinh
