Newton's Method Root Search

Newton's Method Root Search
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2015-11-30 09:09
This example demonstrates finding the root of a differentiable function using Newton's Method. It involves core mathematical concepts like derivatives, iteration, and function roots. The construction uses GeoGebra commands/objects such as Point and Segment. Suitable for high school and above mathematics learners to understand and practice the Newton's Method algorithm.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Segment(A1, B1) → C1
  3. Segment(A2, B2) → C2
  4. Segment(A3, B3) → C3
  5. Segment(A4, B4) → C4
  6. Segment(B1, A2) → D2
  7. Segment(B2, A3) → D3
  8. Segment(B3, A4) → D4
  9. Segment(A5, B5) → C5
  10. Segment(B4, A5) → D5
  11. Segment(A6, B6) → C6
  12. Segment(B5, A6) → D6
  13. Segment(A7, B7) → C7
  14. Segment(B6, A7) → D7