Limit Definition of Derivative by Patricia Loy

Limit Definition of Derivative by Patricia Loy
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2015-10-06 10:52
This example demonstrates the limit definition of a derivative by visually showing how the slope of a secant line approaches the slope of a tangent line as point B moves. Key math concepts include derivatives, tangent lines, secant lines, limits, and function graphs. It is constructed using GeoGebra commands like Point, Line, Intersect, and Segment. Suitable for high school calculus instruction to understand the geometric meaning of derivatives and the concept of limits.

GeoGebra Commands & Parameters

  1. Point(f) → X
  2. Point(f) → B_1
  3. Line(X, B_1) → a
  4. Line(B_1, yAxis) → b
  5. Line(X, xAxis) → c
  6. Intersect(b, c) → B
  7. Segment(X, B) → Δx
  8. Segment(B_1, B) → Δy