Hyperbolic: Hyperbolic Functions

In dual: Automatic Differentiation with Dual Numbers

Hyperbolic Functions

Description

These functions provide the obvious hyperbolic functions. They respectively compute the hyperbolic cosine, sine, tangent, and their inverses, arc-cosine, arc-sine, arc-tangent.

Usage

## S4 method for signature 'dual'
cosh(x)

## S4 method for signature 'dual'
sinh(x)

## S4 method for signature 'dual'
tanh(x)

## S4 method for signature 'dual'
acosh(x)

## S4 method for signature 'dual'
asinh(x)

## S4 method for signature 'dual'
atanh(x)

Arguments

x	a dual object

Value

A dual object containing the transformed values according to the chosen function.

Examples

x <- dual(0.5, 1)
cosh(x)
sinh(x)
tanh(x)
acosh(1 + x)
asinh(x)
atanh(x)

dual documentation built on Sept. 1, 2022, 1:05 a.m.