Derivative of Hyperbolic Tangent Function

Theorem

 * $\map {D_z} {\tanh z} = \sech^2 z$

where $\tanh$ is the hyperbolic tangent and $\sech$ is the hyperbolic secant.

Also see

 * Derivative of Hyperbolic Sine Function
 * Derivative of Hyperbolic Cosine Function


 * Derivative of Hyperbolic Cotangent Function


 * Derivative of Hyperbolic Secant Function
 * Derivative of Hyperbolic Cosecant Function