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
- Welcome
- Learning objectives
- Recap of past learning
- What is a tangent?
- Example 1: Finding the equation of a tangent
- Finding the equation of a normal at a point
- Example 2: Finding the equation of a normal
- Example 3: Finding the equation of a tangent
- This is a CAS course so let's use the CAS
- Example 4: Finding the equation of a tangent with trig
- Example 5
- Example 6a
- Example 6b
- VCAA Past Paper Question 1
- VCAA Past Paper Question 2
- 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
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Title
Tangents and normals
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Section
Applications of differentiation
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Course
Mathematical Methods: Units 3 and 4
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