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Prove the identity.$ \sinh 2x = 2 \sinh x \cosh x $

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Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Missouri State University

Campbell University

Oregon State University

University of Nottingham

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.

00:42

Prove the identity.$ \…

We know that either the two experts e to the negative two x over, too. We can write this as two times. Each of the two acts preceded the Ark's most axe, my seat of the X minus axe. I wanna see the negative two acts. Remember, this is all divisible by four, two times E. The two acts runs E to the negative. Two acts over four gives us each of the two acts mines either the negative two acts and with the two and four, this just becomes 1/2.

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