minimal entity page

inverse hyperbolic function

[inverse hyperbolic function|inverse hyperbolic function] [inverse hyperbolic function] are inverse functions of hyperbolic functions, with all being one-to-one except coshx and sechx as indicated by their graphs.

Definition

inverse hyperbolic function [inverse hyperbolic function] are inverse functions of hyperbolic functions, with all being one-to-one except coshx and sechx as indicated by their graphs.

Mechanism

inverse hyperbolic function [inverse hyperbolic function] mechanism involves calculus techniques for derivatives and integrals. Range restrictions enable inverses through appropriate domain limitations, as seen in their graphs.

Examples

inverse hyperbolic function [inverse hyperbolic function] examples include integrals involving coth. evaluate the following integrals using u-substitution: 1/(9x²) dx.