Title: Maximum, Minimum & Point of inflection

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Presentation transcript:

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

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)

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.

CONCAVITY

Class work

Increasing and Decreasing Functions