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

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Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Alex O.

June 21, 2020

please dont let amrita make any more videos

Campbell University

Oregon State University

University of Michigan - Ann Arbor

Idaho State University

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.

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Prove the identity.$$<…

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Verify the following ident…

using the identity e of data minus the of negative data over to this sign h of data. We know we have either the X plus y plus e to the negative X plus y recall where the night it is on the outside of the E divided by two. Now we know this is equivalent to eat the axe, even negative acts over two times either. Why cost you the negative? Why over too plus even the X minus, even the negative X over too times either. Why Honesty to the negative? Why over too And this simplifies to co sign. H acts Corson Age. Why? Because sign age acts Sign age. Why?

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