Visualizing Derivatives

Visualizing Derivatives
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2016-04-10 23:45
This example dynamically demonstrates the geometric meaning of derivatives by showing the tangent line and slope at a point on a function. It involves core math concepts like derivatives, tangents, slopes, and equations. GeoGebra commands used include Point, Tangent, Slope, OrthogonalLine, with objects like f (function), A (point), a (parameter), m (slope), B (point), b (equation). Ideal for high school and university beginners to understand the definition and calculation of derivatives.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Tangent(A, f) → a
  3. Slope(a) → m
  4. OrthogonalLine(A, xAxis) → b