Derivative Grapher

Derivative Grapher
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2015-01-29 05:01
This example demonstrates how to dynamically graph the derivative of a function, visually illustrating the relationship between the rate of change and the original function's graph. Core math concepts include derivatives, tangent slopes, and function graph transformations. Construction highlights involve GeoGebra commands/objects like Point, Tangent, Segment, buttons, sliders, and locus. Suitable for high school and above students learning calculus basics, or for teacher demonstrations.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Tangent(A, f) → a
  3. Point(a) → C
  4. Point(a) → D
  5. Segment(C, D) → b
  6. Segment(D, P) → c
  7. Segment(C, P) → d