Graphing the First Derivative

Graphing the First Derivative
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2016-11-23 05:35
This example demonstrates how to graph the first derivative of a function. It involves core math concepts like derivatives, slopes, and function graphs. Construction highlights include using GeoGebra commands/objects: Point, Tangent, Slope, Segment. Suitable for high school mathematics teaching or self-learning to understand the relationship between the derivative and the original function's graph.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Tangent(A, f) → a
  3. Slope(a) → slope
  4. Segment(D, B) → h
  5. Segment((x(A) - 0.25, y(A) - (0.25 * g(x(A)))), (x(A) + 0.25, y(A) + (0.25 * g(x(A))))) → Slope_1