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.