Differentiation and antidifferentiation of polynomials

Mathematical Methods: Units 1 and 2

Welcome

Learning objectives

Recap of past learning

Finding the tangent to a curve at a point

Example 1

Example 2

Side note: Expansion of brackets

Limit notation

Example 3

Example 4

Using the CAS for Limit Notation

Definition of the derivative

Differentiation by first principles

Example 5

Using the CAS to differentiation from first principles

Approximating the value of the derivative

Learning objectives: Revisited

Final words and summary

This video is the first in the series relating to Differentiation for the Year 11 Mathematical Methods (Units 1 and 2 VCE) course. It is one of the most important, foundational videos I think there is in this whole course. It takes time to recap the idea of finding the gradient of a secant before moving onto the idea of differentiation from first principles and limit notation. There are lots of worked examples all explained in an easy to understand way.

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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