Derivative Formulas Through Geometry | Essence of Calculus, Chapter 3

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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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
Pros

  • Animations on graphs aid in visualizing the relationship between a function and its derivative
  • Explanations are clear and illuminating
Cons

  • None