The Derivative and First Principles
Differentiation and antidifferentiation of polynomials
Mathematical Methods: Units 1 and 2
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Videos in this series
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  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.
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