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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

Negative powers: What are they?

The derivative of x to the power of negative n

Refining our previous rule for differentiation

Example: Finding the derivative

Example: Finding the gradient of a tangent at a point

Example: Show that question

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 taken some time to look at how to differentiate from first principles and then how to differentiate a positive power, it makes sense to look at how to differentiate functions with negative powers. I look at what it means to be a negative power and then use differentiation from first principles to show that the "short cut" used for positive powers also works for negative powers! How awesome!!! There are a number of examples which mix the learning from this video with those which have gone before. I use humour and no fuss teaching to make sure that you understand how to smash this section of the course.

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