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

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Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Missouri State University

Oregon State University

Boston College

Lectures

04:40

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.

44:57

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.

01:21

If $\cosh x=\frac{5}{3}$ a…

03:28

01:43

If $\cosh x=3$, find the v…

00:40

Refer to the hyperbolic fu…

02:43

Gives a value of $\sinh$ $…

03:47

Use the value of the given…

01:55

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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