• Differentiation And Its Application

  • TABLE OF CONTENTS -- [Total Page(s) 1]

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    • TABLE OF CONTENT

      Front page 

      Certification

      Dedication 

      Acknowledgment

      Table of content

      Abstract 

      CHAPTER ONE 

      Introduction 

      Scope of the study and limitation 

      Purpose of the study 

      Significance of the study 

      Literature review

      CHAPTER TWO 

      Fundamental of calculus 

      Functions of a single variable and their graphs

      Graph of a function

      The rate of change of a function 

      Limits and continuity 

      Theory on limits

      Infinite limits and limits at infinity Continuity 


      CHAPTER THREE

      Differentiation 

      Differentiation as a limit of rate of change of elementary function

      Gradient (straight line and curve)

      Differentiation as a limit of rate of change of a function 

      Rules for differentiation 

      Differentiation of trigonometric function 

      Differentiation of a function of a function

      Differentiation of implicit function 

      Differentiation of logarithmic, exponential and parametric function

      CHAPTER FOUR

      Application of differentiation

      The tangent and normal to a curve 

      Maxima and minima point 

      Cure sketching

      Point of inflexion 

      Summary and conclusion 

      References.


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    • ABSRACT - [ Total Page(s): 1 ]This research is mainly on one aspect of calculus called differentiation and its application. ... Continue reading---

         

      CHAPTER ONE - [ Total Page(s): 1 ]1.1 INTRODUCTIONFrom the beginning of time man has been interested in the rate at which physical and non physical things change. Astronomers, physicists, chemists, engineers, business enterprises and industries strive to have accurate values of these parameters that change with time.The mathematician therefore devotes his time to understudy the concepts of rate of change. Rate of change gave birth to an aspect of calculus know as DIFFERENTIATION.There is another subject known  as INTEGRATION.In ... Continue reading---