Derivative of Hyperbolic Cotangent

Theorem

 * $\map {\dfrac \d {\d x} } {\coth x} = -\csch^2 x = \dfrac {-1} {\sinh^2 x}$

where $\coth x$ denotes the hyperbolic cotangent, $\csch x$ denotes the hyperbolic cosecant and $\sinh x$ denotes the hyperbolic sine.

Also see

 * Derivative of Hyperbolic Sine
 * Derivative of Hyperbolic Cosine


 * Derivative of Hyperbolic Tangent


 * Derivative of Hyperbolic Secant
 * Derivative of Hyperbolic Cosecant