Derivative of a Cubic Function

Derivative of a Cubic Function
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2017-04-04 18:22
This example demonstrates the graph of a cubic function and its derivative. Key math concepts include the geometric meaning of the derivative (slope of the tangent line) and the behavior of function graphs. Construction highlights the use of GeoGebra commands/objects like Point, Line, Slope, Derivative to dynamically illustrate the relationship between the original function and its derivative. Suitable for high school calculus introduction and teaching.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Point(xAxis) → B
  3. Point(xAxis) → C
  4. Line(F, E) → e
  5. Slope(e) → m
  6. Derivative(f) → f'