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Demonstration of the Derivative of ln x

Demonstration of the Derivative of ln x
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2018-07-24 01:15
FunctionCalculusDerivative
This example dynamically illustrates the derivative of the natural logarithm function ln(x), showcasing its graph and geometric significance. Key math concepts include derivative definition, function graph transformation, and limit concepts. GeoGebra commands and objects used in construction are Point, Segment, Line, Mirror. Suitable for high school and above learners to visually understand derivative concepts and function graph relationships.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Segment(A, B) → a
  3. Segment(B, C) → b
  4. Line(A, C) → c
  5. Mirror(A, d) → A'
  6. Mirror(B, d) → B'
  7. Mirror(C, d) → C'
  8. Line(A', C') → e
  9. Segment(A', B') → h
  10. Segment(C', B') → i