Mean Value Theorem and Derivatives Demo

Mean Value Theorem and Derivatives Demo
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2019-02-14 11:30
This example demonstrates the Mean Value Theorem geometrically using dynamic graphs. It involves core math concepts like derivatives, slopes, tangents, and the theorem itself. Construction highlights include using GeoGebra commands such as Point, Segment, Slope, and Tangent to build function graphs, points, line segments, and tangent lines, showcasing slope relationships. Suitable for high school and above learners to understand derivative applications and the geometric meaning of the Mean Value Theorem.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Point(f) → B
  3. Segment(A, B) → g
  4. Slope(g) → m
  5. Point(f) → C
  6. Tangent(C, f) → h
  7. Slope(h) → m_1