Derivative Visualization

Derivative Visualization
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2018-11-22 00:46
This example dynamically demonstrates the geometric meaning of a derivative by showing the tangent line at a point on a function. It involves core math concepts like derivatives, tangent slopes, trigonometric functions, and cylinders. GeoGebra commands and objects used include Point, Tangent, Slope, and f, A, g, m, A₁, m₁, f', f''. Suitable for high school students and beginners in differential calculus.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Tangent(A, f) → g
  3. Slope(g) → m
  4. Slope(g) → m_1