Mean Value Theorem For Derivatives Demo

Mean Value Theorem For Derivatives Demo
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2015-10-25 09:08
This example demonstrates the Mean Value Theorem for Derivatives by allowing points A and B to be moved. Point C moves from A to B, illustrating the concept of equal slopes without requiring them to be exactly equal. It involves core math concepts like derivatives, tangent slopes, secant slopes, continuity, and function graphs. Constructed using GeoGebra commands/objects: Point, Tangent, Segment, Slope. Suitable for high school and above students to visually understand the theorem.

GeoGebra Commands & Parameters

  1. Point(f) → C
  2. Tangent(C, f) → tangent
  3. Point(f) → A
  4. Point(f) → B
  5. Segment(A, B) → secant
  6. Slope(secant) → secantslope
  7. Slope(tangent) → tangentslope