Mathematical Methods: Units 3 and 4

Tangents and normals

Applications of differentiation

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About this lesson
This video is the first in this section looking at how we can apply differentiation to real world and practical problems. A part of the Year 12 (VCE Units 3 and 4) Mathematical Methods course, I take time to look at what a tangent and normal is and how we can use differentiation to find equations of both tangents and normals. There are a number of worked examples (and VCAA questions) to scaffold the theory explained in an easy to understand way.

Lesson chapters
  1. Welcome
  2. Learning objectives
  3. Recap of past learning
  4. What is a tangent?
  5. Example 1: Finding the equation of a tangent
  6. Finding the equation of a normal at a point
  7. Example 2: Finding the equation of a normal
  8. Example 3: Finding the equation of a tangent
  9. This is a CAS course so let's use the CAS
  10. Example 4: Finding the equation of a tangent with trig
  11. Example 5
  12. Example 6a
  13. Example 6b
  14. VCAA Past Paper Question 1
  15. VCAA Past Paper Question 2
  16. Learning objectives: Revisited

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
  • Title Tangents and normals
  • Section Applications of differentiation
  • Course Mathematical Methods: Units 3 and 4

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