Fundamental Theorem of Calculus Part I

Fundamental Theorem of Calculus Part I
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2016-04-01 02:25
Drag a point on the function and observe that the rate of change of the area under the curve is equal to the function value at that point. This example demonstrates the fundamental theorem of calculus, involving concepts of differentiation and integration. It uses GeoGebra commands such as Polynomial, Point, Integral, and Segment to construct the demonstration. Suitable for high school students learning the fundamental theorem of calculus.

GeoGebra Commands & Parameters

  1. Polynomial({A, B, C, D, E, F}) → f
  2. Point(f) → P
  3. Integral(f, x(P), x(G)) → ΔA
  4. Segment((x(P), 0), (x(G), 0)) → Δx