Differentiation of hyperbolic functions

Here you are shown how to differentiate the hyperbolic functions sinh(x), cosh(x), tanh x sech(x), cosech(x) and coth(x) and combinations of these functions.

Proof of the differentials of sinh(x), cosh(x) and tanh(x)

Further differentiation

Please Note: sech(x), cosech(x) and coth(x) are not required for A-Level Further Maths

Proof of the differentials of cosech(x), sech(x) and coth(x)

Further differentiation

Mixed Exercise