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Graph of First Derivative

Graph of First Derivative
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2019-02-18 11:29
FunctionDerivativeGraphing
This example demonstrates the graph of the first derivative of a function. Key mathematical concepts include derivatives and function graphs. Using GeoGebra commands such as Point, Translate, Slope, and Text, the graph of the function and its first derivative can be constructed. Suitable for high school mathematics education and learning about derivatives.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Translate(Rotate[Segment[(-2, 0), (2, 0)], atan(f'(x(A)))], A) → k
  3. Slope(k) → c
  4. Text("f(x)") → text1
  5. Text("f'(x)") → text2