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

$\frac{1}{4}\left(2 e^{x+y}-2 e^{-x-y}\right)=\frac{1}{2}\left[e^{x+y}-e^{-(x+y)}\right]=\sinh (x+y)$

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Alex O.

June 21, 2020

amrita is the only tutor on here who goes way too fast,,always skips like 20 steps

James L.

October 21, 2021

I agree. definitely shouldn't be labeled as an "educator," she explains it like everyone already knows the answer.

Missouri State University

Campbell University

Baylor University

University of Nottingham

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:50

Prove the identity.$ \…

01:15

Verify the following ident…

04:11

Prove $\sinh (x+y)=\sinh (…

09:54

Prove the identities $…

01:18

00:36

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00:38

Use the given identity to …

Verifying identities Use t…

00:42

okay. We first started out with either the excuse y minus even negative X plus y looked closely at where the parentheses are. Gives us you did the X minus you the negative acts over too. Times eat of the Y, plus even negative. Why over too? Plus, each of the AKs puts even negative acts over too times either the y minus e to the negative. Why over to So as you can see, the night gives and the positives are alternating when we're doing this copulation. And this friendly gives us sign a jukebox co sign a chew of Why was co sign h of X sign each of why.

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

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

Verify the following identities.$$\sinh (x+y)=\sinh x \cosh y+\cosh x \s…

Prove $\sinh (x+y)=\sinh (x) \cosh (y)+\cosh (x) \sinh (y)$ changing the exp…

Prove the identities $\begin{aligned} \sinh (x+y) &=\sinh x \cosh y+…

Verify the following identities.$$\cosh (x+y)=\cosh x \cosh y+\sinh x \s…

Prove the identity.$ \cosh x + \sinh x = e^x $

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

Use the given identity to prove the related identity.Use the identity $\…

Verifying identities Use the given identity to verify the related identity.<…

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