DIFFERENTIATION AND ITS APPLICATION

CHAPTER ONE

1.1  INTRODUCTION

From 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.

Integration And Differentiation in broad sense together form subject called  CALCULUS

Hence in a bid to give this research project an excellent work, which is of  great utilitarian value to the students in science and social science, the research project is divided into four chapters, with each of these chapters broken up into sub units.

Chapter one contains the introduction, scope of study, purpose of study, review of related literature and  limitation.        

Chapter two dwells on the fundamental of calculus which has to do with functions of single real variable and their graph, limits and continuity.

Chapter three deals properly with differentiation which also include gradient of a line and a curve, gradient function also called the derived function.

Chapter four contains the application of differentiation, summary and conclusion       

1.2 Scope Of The Study And Limitation

    This research work will give a vivid look at differentiation and its application.

    It will state the fundamental of calculus, it shall also deal with limit and continuity.

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