L'Hopital's Rule Demonstration

L'Hopital's Rule Demonstration
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2019-08-16 22:15
This example dynamically illustrates the relationship between function limits and derivatives, visually showcasing the application of L'Hopital's Rule. It involves core mathematical concepts such as limits, derivatives, tangent slopes, and function graph transformations. Construction highlights include using GeoGebra commands like Tangent, Slope, Textfield, and InputBox to create functions, points, tangents, etc., with sliders for dynamic parameter adjustment. Suitable for high school students and beginners in calculus.

GeoGebra Commands & Parameters

  1. Tangent(A, f) → h
  2. Tangent(B, g) → i
  3. Slope(h) → m
  4. Slope(i) → m_1
  5. Textfield(f) → InputBox1
  6. Textfield(g) → InputBox2