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MATH 140 Lecture : MAth140trigandhyperbolicfunctionderivatives.docx

Canada

Calculus 1

Mathematics & Statistics (Sci)

Sidney Trudeau

McGill University

<p>Prove the derivative formula for hyperbolic functions.</p>
<p><picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/810493374648679/question/0.webp?img=55ec5bfaf0f6157037d6edcc34ecb2ab" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/810493374648679/question/0.png?img=fc54666db1207313d338d4f3e4e1194e" data-mlang="latex" data-equation="%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft(cosh%5Cleft(x%5Cright)%5Cright)%3Dsinh%5Cleft(x%5Cright)"></picture>  </p>

<div style="font-family:'Helvetica Neue', Helvetica, Arial;color:#333333;">How do you solve this hyperbolic derivative? <div> <br> <picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/79/7941467.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/79/7941467.png" alt=""></picture> </div> </div> <div id="fvg" class="hidden">a sech x) </div> <span class="transcribed-text">Show transcribed image text</span> <span class="transcribed-image-text hidden">a sech x) </span>

<p>Hyperbolic Sine Function The <em>hyperbolic sine function</em> is<br>defined by</p><p><img src="data:image/png;base64,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" class="fm-editor-equation" data-mlang="latex" data-equation="sinh%28x%29%3D%5Cfrac%7Be%5E%7Bx%7D-e%5E%7B-x%7D%7D%7B2%7D%0A"></p>

MATH 140 Lecture : MAth140trigandhyperbolicfunctionderivatives.docx

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