Differentiating from First Principles

Differentiating from First Principles
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2020-03-10 05:39
This example demonstrates how the ratio of the change in y to the change in x approaches the slope of the tangent as the points get closer. It involves core mathematical concepts like derivatives, tangent slopes, and limits. Construction highlights the use of commands and objects such as Segment, Point, Tangent, and Slope in GeoGebra. Suitable for high school and above students learning calculus.

GeoGebra Commands & Parameters

  1. Segment(G, F) → i
  2. Segment(C, A) → j
  3. Segment(C, B) → k
  4. Segment(B, A) → l
  5. Point(xAxis) → D
  6. Tangent(B, f) → m
  7. Slope(m) → o