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Inverse Function Derivative Exploration

Inverse Function Derivative Exploration
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2017-09-26 23:40
CircleCalculusDerivativeGeometric ConstructionGraphing
This example demonstrates the derivative of inverse functions and its geometric meaning, showing the relationship between inverse functions and their derivatives through dynamic graphics. Key math concepts include inverse functions, derivatives, geometric interpretation, and analytical geometry. Construction highlights involve GeoGebra commands like Point, Locus, Tangent, Line, and Polygon. Suitable for high school students and math enthusiasts studying calculus and function properties.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Locus(B, A) → loc1
  3. Tangent(A, f) → g
  4. Line(B, C) → h
  5. Polygon(D, E, F, G) → q1, d_1, e, f_1, g_1
  6. Polygon(H, I, J, K) → q2, h_1, i, j, k