is: a test to determine the location and nature of a local extremum of a given function
[M4.4]
involves: (a) finding the points at which
(b) investigating the behaviour of the sign of
at those points. If
and
there is a local maximum at
If
and
there is a local minimum at
If
and
then further investigation is required. [M4.4]
See stationary points and graph sketching in the Maths handbook.
Copyright 1997, The Open University