About this lesson
This video looks at the three different types of stationary points needed for the Year 11 and Year 12 Mathematical Methods course. I recap the work from a previous video but add more depth and show how to use the CAS to effectively find not only where the stationary points are, but how we can find the nature of each of the points. I show how to test either side of a stationary point as well how to use the double differential. There are a couple of worked examples which I use to scaffold the theory.
Lesson chapters
- Welcome
- Learning objectives
- Recap of past learning
- Recap: What is a stationary point?
- Maximums and Minimums (Local and Absolute)
- Stationary Points of Inflection
- Stationary Points and Turning Points
- Stating the nature of a turning point
- Example 1
- Example 1: Using the CAS
- Using the double differential to find nature of stationary points
- Final words and summary
Legal (VCAA)
VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au
Video details
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Title
Types of Stationary Points
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Section
Applications of differentiation and antidifferentiation of polynomials
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Course
Mathematical Methods: Units 1 and 2
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