Derivative Demonstration by Kinley

Derivative Demonstration by Kinley
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2019-01-23 21:52
This example demonstrates the derivative of a function at a point, visualizing the calculation and geometric interpretation of the tangent slope. It involves core mathematical concepts like derivatives, vectors, three-dimensional space, area, real numbers, step functions, and rectangles. The construction uses GeoGebra commands such as Tangent, Slope, Textfield, and Intersect, along with objects like a, f, A, g, m, InputBox1, InputBox2, button1, f', h, B, b. It is suitable for high school and above students learning calculus to understand the geometric meaning and computation of derivatives.

GeoGebra Commands & Parameters

  1. Tangent(A, f) → g
  2. Slope(g) → m
  3. Textfield(f) → InputBox1
  4. Textfield(a) → InputBox2
  5. Intersect(f', h, (4, 2)) → B