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picture1_Differentiation Pdf 169008 | 151h Wlazlo Sessions Smith Day Math Project Implicit Chain


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File: Differentiation Pdf 169008 | 151h Wlazlo Sessions Smith Day Math Project Implicit Chain
introduction the chain rule and implicit differentiation are techniques used to easily differentiate otherwise difficult equations both use the rules for derivatives by applying them in slightly different ways to ...

icon picture PDF Filetype PDF | Posted on 25 Jan 2023 | 2 years ago
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    INTRODUCTION 
    The chain rule and implicit differentiation are techniques used to 
      easily differentiate otherwise difficult equations.  Both use the 
      rules for derivatives  by applying them in slightly different ways to 
      differentiate the complex equations without much hassle. In this 
      presentation, both the chain rule and implicit differentiation will 
      be shown with applications to real world problems. 
                                     DEFINITION 
          Chain Rule                            Implicit 
                                                    Differentiation 
          A way to differentiate                A way to take the derivative 
             functions within                       of a term with respect to 
             functions.                             another variable without 
                                                    having to isolate either 
                                                    variable. 
      HISTORY 
      The Chain Rule is thought to have first originated from the German 
        mathematician Gottfried W. Leibniz. Although the memoir it was first 
        found in contained various mistakes, it is apparent that he used chain 
        rule in order to differentiate a polynomial inside of a square root. 
        Guillaume de l'Hôpital, a French mathematician, also has traces of the 
        chain rule in his  Analyse des infiniment petits. 
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...Introduction the chain rule and implicit differentiation are techniques used to easily differentiate otherwise difficult equations both use rules for derivatives by applying them in slightly different ways complex without much hassle this presentation will be shown with applications real world problems definition a way take derivative functions within of term respect another variable having isolate either history is thought have first originated from german mathematician gottfried w leibniz although memoir it was found contained various mistakes apparent that he order polynomial inside square root guillaume de l hopital french also has traces his analyse des infiniment petits...

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