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Newton-Raphson method for square root

Newton-Raphson method for square root
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2015-12-09 10:19
FunctionCalculusOptimization
This example demonstrates the iterative process of finding square roots using the Newton-Raphson method. Key math concepts include iterative methods, derivatives, and function approximation. GeoGebra commands used in construction are Segment, points (x0, x1, x2...), function f, and parameter a. Suitable for high school and above learners studying numerical computation methods.

GeoGebra Commands & Parameters

  1. Segment(X0, Y0) → a
  2. Segment(Y0, X1) → b
  3. Segment(X1, Y1) → c
  4. Segment(Y1, X2) → d
  5. Segment(X2, Y2) → e
  6. Segment(Y2, X3) → g
  7. Segment(X3, Y3) → h
  8. Segment(Y3, X4) → i
  9. Segment(X5, Y5) → j
  10. Segment(Y5, X6) → k
  11. Segment(X6, Y6) → l
  12. Segment(Y6, X7) → m
  13. Segment(X7, Y7) → n
  14. Segment(Y7, X8) → p
  15. Segment(X8, Y8) → q
  16. Segment(Y8, X9) → r
  17. Segment(X4, Y4) → s
  18. Segment(Y4, X5) → t