1. Title: Maximum, Minimum & Point of inflection
29/09/17
LO: TBAT understand Maximum and Minimum points on the curve
:TBAT mark find the stationary points on a curve
Title: Maximum, Minimum & Point of inflection
H/W Marking
Literacy in Maths
Maxima
Minima
Point of inflection
Concavity

2. STATIONARY POINTS (Critical points)
Sometimes they are also called
‘’Saddle point’’
STATIONARY POINTS (Critical points)
POINT OF INFLECTION
(a point of a curve at which a change in the direction of curvature
occurs)
MAXIMUM
(Gradient changes from
+ve to –ve)
MINIMUM POINT
(Gradient changes from
-ve to +ve)
At the stationary points, dy/dx= 0 (since the gradient is zero at stationary points)

5. Point of inflection
An inflection point is a point on a curve at which the sign of the curvature (i.e., the concavity) changes. Inflection points may be stationary points, but are not local maxima or local minima. For example, for the curve plotted above, the point is an inflection point.

8. CONCAVITY

9. Class work

10. Increasing and Decreasing Functions