The hyperbolic tangent and secant are defined as sinh tanha cosh a 1 cosh a sech a Find the following. d da (tanh) d (sinhr) da (You may want to refer to the fact that fundamental hyperbolic identity cosh²z - sinh² = 1) x = cosh z and d da (cosh z) = sinhæ, and the

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
The hyperbolic tangent and secant are defined as
tanhr =
sinhr
cosh z
1
cosh z
sech
Find the following.
d
(tanhr)
dx
(You may want to refer to the fact that
fundamental hyperbolic identity cosh²
d
(sinh x) = cosh z and
dx
- sinh?r=1)
d
dx
(cosh z) =
= sinh x, and the
Transcribed Image Text:The hyperbolic tangent and secant are defined as tanhr = sinhr cosh z 1 cosh z sech Find the following. d (tanhr) dx (You may want to refer to the fact that fundamental hyperbolic identity cosh² d (sinh x) = cosh z and dx - sinh?r=1) d dx (cosh z) = = sinh x, and the
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning