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Problem

Prove the identity. $ \cosh x - \sinh x = e^{-x}…
00:28

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Problem 9 Easy Difficulty

Prove the identity.
$ \cosh x + \sinh x = e^x $

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Related Courses

Calculus 1 / AB
Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Related Topics

Derivatives

Differentiation

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Top Calculus 1 / AB Educators
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Catherine Ross

Missouri State University

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Lectures

Video Thumbnail

04:40
Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
Video Thumbnail

44:57
Differentiation Rules - Overview

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
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Video Transcript

we know we now have eaten the ax plus e to the negative acts over too. And this is gonna be added to you. Did the axe minus either the negative axe over too, Which gives us to eat the axe over to cross off the two on the top of the bottom, and we get each of the AKs. Therefore, we know this is

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Calculus: Early Transcendentals

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Related Topics

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Top Calculus 1 / AB Educators
Grace He

Numerade Educator

Catherine Ross

Missouri State University

Heather Zimmers

Oregon State University

Kayleah Tsai

Harvey Mudd College

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40
Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
Video Thumbnail

44:57
Differentiation Rules - Overview

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
Join Course
Recommended Videos

01:04

Prove the identity. $$ \cosh x+\sinh x=e^{x} $$

00:28

Prove the identity. $ \cosh x - \sinh x = e^{-x} $

01:07

Prove the identity. $$ \cosh x-\sinh x=e^{-x} $$

01:15

Prove the identity. cosh(x) sinh(x) coshx) sinh(x) f(e*+e-x)-

00:52

Prove the identity. $ \sinh (x + y ) = \sinh x \cosh y + \cosh x \sinh

00:42

Prove the identity. $ \cosh 2x = \cosh^2 x + \sinh^2 x $

00:50

Prove the identity. $ \cosh (x + y) = \cosh x \cosh y + \sinh x \sinh y $

03:23

Prove the identity. $$ \cosh (x+y)=\cosh x \cosh y+\sinh x \sinh y $$

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