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Prove the identity.$ \tanh (x + y) = \frac { \tanh x + \tanh y}{1 + \tanh x \tanh y} $

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Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

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.

01:09

verify that the given equa…

03:30

Prove the identities.$…

01:06

03:21

Prove the identity.$$<…

01:57

Prove the identity.$$\…

01:10

Prove the identity.$ \…

we know that we now have a sign of X plus y dried by co sign H of X plus y, which gives us sign Age Axe Co Sign age. Why less co sign Axe Sign Age Why sign H Arcs Sign h Y and this can be simplified to Tangent of H acts plus 10 h y Divide by one plus 10 h acts times 10 h Wife.

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