Analysis

APPLIED MATHEMATICS FOR SOCIAL SCIENCES


INDEX
 

Introduction

Aims

Increasing and decreasing functions

Maxima and minima

Optimisation problems

Concavity and convexity

Stationary points

APPLICATIONS OF THE DERIVATIVE

INTRODUCTION

Using the concept of the derivative we are going to study some of the local properties of functions. Drawing their graphs will be made much easier through the study of these characteristics. This unit also aims to obtain information about functions from their derivatives.

AIMS
  • To find intervals of increase and decrease.

  • To find the local maxima and minima of a function.

  • To apply the theory of local maxima and minima to optimisation problems.

  • To find intervals of concavity and convexity and points of inflexion of a function.

  María José García Cebrian
 
Spanish Ministry of Education. Year 2001
 
 

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