Derivative of Hyperbolic Tangent

Theorem

 * $\map {\dfrac \d {\d x} } {\tanh x} = \sech^2 x = \dfrac 1 {\cosh^2 x}$

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

Also see

 * Derivative of Hyperbolic Sine
 * Derivative of Hyperbolic Cosine


 * Derivative of Hyperbolic Cotangent


 * Derivative of Hyperbolic Secant
 * Derivative of Hyperbolic Cosecant