Net Change Theorem Demonstration

Net Change Theorem Demonstration
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2016-06-10 03:13
This example illustrates how the net change of a function can be calculated by integrating its derivative, covering core concepts like derivatives, integrals, and the Net Change Theorem. It uses GeoGebra commands/objects such as Polynomial, Point, Tangent, Slope, Vector, and Polygon. Suitable for high school and above learning calculus and function analysis.

GeoGebra Commands & Parameters

  1. Polynomial({A, B, C, D, E, F}) → f
  2. Point(xAxis) → Begin
  3. Point(xAxis) → End
  4. Point(xAxis) → Now
  5. Tangent(HowNow, f) → i
  6. Slope(i) → slope
  7. Vector(G, I) → Change
  8. Polygon(Net0, Net1, Net2, Net3) → poly1, net0, net1, net2, net3