The Paradox of the Derivative | Essence of Calculus, Chapter 2

It turns out that "instantaneous rate of change" isn't an accurate representation of the derivative. Viewers of the second video in a series of 11 learn about the concept of the derivative, from the limit of a difference quotient to the slope of a tangent line. The video also explains why thinking about derivatives as instantaneous rates of change is paradoxical.

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Instructional Ideas
  • Pause video at indicated times to have a class discussion
Classroom Considerations
  • Learners should have familiarity with derivatives
  • You can view this resource separately from the first video
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Pros
  • Thorough explanations make the concept clear
  • Interesting graphics and animations are likely to hold pupil interest
Cons
  • None