Hyperbolic Functions

The three most common hyperbolic functions are:

sinh, cosh and tanh
(pronounced "shine, cosh and than")

sinh x = ex − e−x 2

cosh x = ex + e−x 2

tanh x = sinh x cosh x = ex − e−x ex + e−x

Derivatives

The derivatives are:

d dx sinh x = cosh x

d dx cosh x = sinh x

d dx tanh x = 1 − tanh2 x