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Inverse Function and Derivative

Inverse Function and Derivative
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2020-02-14 15:43
FunctionCoordinate GeometryDerivative
This example demonstrates how to plot a function and its inverse, along with their derivatives. Core math concepts include inverse functions, derivatives, function graphs, and quadratic functions. It uses GeoGebra commands like Function, Point, and Tangent, with objects f, g, text1, text1_1, A, B, a, b, c, d, h. Suitable for high school mathematics education to understand the relationship between inverse functions and derivatives, and the geometric properties of function graphs.

GeoGebra Commands & Parameters

  1. Function((x - 3)^(1 / 3) + 1, -100, 100) → f
  2. Function((x - 1)^(3) + 3, -100, 100) → g
  3. Point(f) → A
  4. Tangent(x(A), f) → a
  5. Tangent(x(B), g) → b