Definition of the Derivative by Kristen Beck

Definition of the Derivative by Kristen Beck
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2016-04-20 01:09
This example illustrates the definition of the derivative. It covers key concepts in calculus, dynamically adjusting functions and variables to show the geometric meaning of the derivative. Commands used include Segment, If, Point, Line, and Function. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Segment(P, (x(P), 0)) → b
  2. Segment(P, (0, y(P))) → d
  3. Segment(Q, (x(Q), 0)) → g
  4. Segment(Q, (0, y(Q))) → i
  5. Segment((x(P), 0), (x(Q), 0)) → j
  6. Segment((0, y(P)), (0, y(Q))) → k
  7. If(R, 0, -1) → A
  8. If(R, 1, 0) → B