Second Derivative Traces

Second Derivative Traces
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2016-05-11 12:19
This example illustrates the geometric meaning of the second derivative. It involves concepts of derivatives, vectors, and functions. By constructing points, tangents, slopes, and derivatives, users can visually understand how the second derivative affects the shape of a function. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Tangent(A, f) → g
  3. Slope(g) → m
  4. Derivative(f) → f'
  5. Slope(h) → m_1
  6. Derivative(f') → f''