inc dec max min functions
Post on 04-Aug-2015
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Functions – Increasing, Decreasing & Stationary
PointsClaire Powis
Increasing Functions
Decreasing Functions
Changing Functions
Example 1
Example 2
Questions
Stationary Points: f’(x) = 0
Maximum and minimum points are sometimes called ‘turning points’ as the graph changes direction at these points.
Some graphs can have more than one stationary point:
Stationary Points: f’(x) = 0
What is a point of inflexion?
Example 3
A curve has equation . Determine, by calculation, the coordinates and nature of the stationary points if the curve.
Steps:1. Differentiate the function to find y’2. Set y’=0 to find stationary points3. Find points either side of stationary points to
work out whether maximum, minimum or point of inflexion.
Example 4
=
= for = 1, =
( 1; -11) ( ; )Maximum Minimum
Solution
Solving Problems
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