Differentiation and antidifferentiation of polynomials
Mathematical Methods: Units 1 and 2
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
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.
LEGAL STUFF (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
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