Tangents and Normals | Mathematical Methods | MaffsGuru.com

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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.

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00:11 Welcome
00:32 Learning objectives
00:45 Recap of past learning
01:42 What is a tangent?
03:15 Example 1: Finding the equation of a tangent
05:45 Finding the equation of a normal at a point
07:57 Example 2: Finding the equation of a normal
10:17 Example 3: Finding the equation of a tangent
13:42 This is a CAS course so let's use the CAS
15:49 Example 4: Finding the equation of a tangent with trig
18:08 Example 5
20:10 Example 6a
21:59 Example 6b
23:59 VCAA Past Paper Question 1
26:01 VCAA Past Paper Question 2
28:48 Learning objectives: Revisited

This maths video has been created for courses which are delivered in Australia but, as Maths is a constant, it is equally helpful for students in the USA, UK and other countries who are looking for good maths videos for both high school and middle school.