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

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Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Oregon State University

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.

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we know that we have each of the AKs post either night of arcs over too months each of the AKs months, seat of the negative acts over to which is to eat of the negative x over to. Therefore we know that sign. Age of axes, Eat of the ex. My seat of the negative X over to coast on h of X is did the explosive to the night of X over two and then tan is always sign over coastline.

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