Derivative of arccoth

From specialfunctionswiki
Jump to: navigation, search

Theorem

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

Proof

References