The Differentiation And It’s Application Complete Project Material (PDF/DOC)
This research is mainly on one aspect of calculus called differentiation and its application. The study is organized into five chapters, covering the introduction, fundamentals of calculus, detailed analysis of differentiation and its applications, summary and conclusion. It investigates into historical contributions to calculus, highlighting the work of pioneers such as Newton and Leibniz, who developed differentiation and integration into a structured mathematical discipline. The study emphasizes the practical relevance of differentiation in modern science, technology, and industries, where understanding the rate of change is essential for optimizing production and resource distribution. By reviewing its operational principles, this research underscores the importance of differentiation in addressing mathematical problems and real-world challenges.
1.0 INTRODUCTION
This chapter introduces the Differentiation And It’s Application and its relevance, states the research problems, research questions, and objectives, provides a background of the study, and should also include the research hypothesis.
Certification
Dedication
Acknowledgment
Table of content
Abstract
CHAPTER ONE
Introduction
Scope of the study and limitation
Purpose of the study
Significance of the study
CHAPTER TWO
Literature review
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
CHAPTER FIVE
Summary and conclusion
References.
This Research Work On “Differentiation And It’s Application” Complete Material Can Be Downloaded Through Whatsapp, Email Or Download Link. Click The Below Button To Proceed:
This study on the Differentiation And It’s Application is solely for academic research purposes only and should be used as a research guideline or source of ideas. Copying word-for-word or submitting the entire project work to your school is unethical academic behavior and “UniProjects” is not part of it.