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Differentiation and antidifferentiation of polynomials

Mathematical Methods: Units 1 and 2

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Lesson notes

LEGAL STUFF

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

Chapters

Start

Welcome

Learning objectives

Recap of past learning

The sign of the derivative

Example: Finding intervals of gradients

Example: Sketching a derivative graph from a function

Example 2: Sketching a derivative from a function

Example 3: Sketching a derivative graph from a function

Strictly increasing and decreasing

Strictly increasing and decreasing: A warning

Angle of the gradient of a curve at a point

Example 4: Using m equals tan theta

Example 2: Find the direction using m equals tan theta

Final comments

Description

This video is the next in the series relating to differentiation for the Year 11 Mathematical Methods (Units 1 and 2) course. Having done the ground work relating to "how" to differentiate, I now start to look at why it becomes helpful. Looking at the graphs of the derivative is an important aspect of the course and I take time to cover this in terms of the notation used and how to draw graphs of the derivative function when given the original function. I look at what it means for a function to be strictly increasing and decreasing for two points with some worked examples. Finally I look at how we can find the angle between the tangent at a point of a graph and the x-axis using some basic trigonometry. There are lots of worked examples and I do all I can to ensure this topic is covered in an easy to understand way. I cannot stress enough how important this video is!

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