Problem

If $ \tanh x = \frac {12}{13}, $ find the values …

00:49

Problem 19 Medium Difficulty

Prove the identity.
$ (\cosh x + \sinh x)^n = \cosh nx + \sinh nx $ ($ n $ any real number)

Name: prove the identity cosh x sinh xn cosh nx sinh nx n any real number
Uploaded: 2019-11-03
Duration: 59 s
Channel: Numerade
Description: Prove the identity. $ (\cosh x + \sinh x)^n = \cosh nx + \sinh nx $ ($ n $ any real number)

Answer

$\cosh n x+\sinh n x$

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Discussion

You must be signed in to discuss.

Top Calculus 1 / AB Educators

Grace H.

Catherine R.

Missouri State University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Watch More Solved Questions in Chapter 3

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Video Transcript

Okay. Eat of the Expos heat of the night X over too. Plus e to the X minus E to the negative, X over two to the power. And we're just using the agenda list in the textbook. The power on and choose Cancel. We get either the ax to the power and which is either the annex. Okay, Now we have each of the AKs times to over two. Gives us to eat of the attacks over too, which we can now, right as you did it on axe plus e to the negative attacks over two plus feet of the max minus e to the negative. Acts over too. The SEC will want to co sign H. An axe will sign H annex.

Amrita B.

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Problem

If $ \tanh x = \frac {12}{13}, $ find the values …

Problem 19 Medium Difficulty

Prove the identity.
$ (\cosh x + \sinh x)^n = \cosh nx + \sinh nx $ ($ n $ any real number)

Answer

$\cosh n x+\sinh n x$

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Grace H.

Catherine R.

Heather Z.

Kayleah T.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 3

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Grace H.

Catherine R.

Heather Z.

Kayleah T.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Problem

If $ \tanh x = \frac {12}{13}, $ find the values …

Problem 19 Medium Difficulty

Prove the identity.$ (\cosh x + \sinh x)^n = \cosh nx + \sinh nx $ ($ n $ any real number)

Answer

$\cosh n x+\sinh n x$

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Grace H.

Catherine R.

Heather Z.

Kayleah T.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 3

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Grace H.

Catherine R.

Heather Z.

Kayleah T.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Prove the identity.
$ (\cosh x + \sinh x)^n = \cosh nx + \sinh nx $ ($ n $ any real number)