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Problem

(a) Use the graphs of $ \sinh, \cosh, $ and $ \ta…

03:24

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Problem 21 Easy Difficulty

If $ \cosh x = \frac {5}{3} $ and $ x > 0, $ find the values of the other hyperbolic functions at $ 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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If $\cosh x=\frac{5}{3}$ a…

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Problem 16
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Problem 21
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Video Transcript

Okay. We know that sign H of X is the square root of five over three squared minus one, which is a squirt of 16 over nine, which is 4/3. Therefore, we know that tan H of X is 4/3 over 5/3 which is 4/5. Therefore, coast seeking h of X is won over sign H of X, which is gonna be 3/4. Therefore, we know that seeking H of X is won over co sign Age of X. So one over 5/3 which is 3/5 And then we know that Coach Tangent H of X is one over Taneja back. So when over 4/5 is 5/4 other words the opposite of us.

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Top Calculus 1 / AB Educators
Grace He

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Catherine Ross

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Heather Zimmers

Oregon State University

Joseph Lentino

Boston 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
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