Difference between revisions of "Derivative of arctanh"

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(Created page with "==Theorem== The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z} \mathrm{arctanh}(z) = \dfrac{1}{1-z^2},$$ where $\mathrm{arctanh}$ denotes the arctanh|inverse hyp...")
 
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Latest revision as of 23:46, 11 December 2016

Theorem

The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z} \mathrm{arctanh}(z) = \dfrac{1}{1-z^2},$$ where $\mathrm{arctanh}$ denotes the inverse hyperbolic tangent.

Proof

References