Instructional Video

Derivative Formulas Through Geometry | Essence of Calculus, Chapter 3

Curated and Reviewed by Lesson Planet

Geometry to the rescue. By watching a video, scholars see how geometric concepts help explain derivative formulas: areas of rectangles and volumes of rectangular prisms for the Power Rule and similarity and trig ratios for the Sine Rule.

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Additional Tags
Instructional Ideas
  • Have learners explain the derivatives of 1/x and sqrt(x) using geometry in a journal entry
Classroom Considerations
  • Pupils should have some familiarity with derivatives
  • Video builds on previous video
  • Third installment of an 11-part series
  • This video is hosted on YouTube
Pros
  • Animations on graphs aid in visualizing the relationship between a function and its derivative
  • Explanations are clear and illuminating
Cons
  • None