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Gradient Function Graph

Gradient Function Graph
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2013-04-23 19:18
FunctionCalculusDerivative
This applet demonstrates the graph of a gradient function. It involves the core mathematical concept of derivatives. Using GeoGebra commands such as Point, Tangent, and Derivative, the function graph and its derivative graph are constructed. Suitable for high school mathematics education and learning, helping to understand the monotonicity and extrema of functions.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Tangent(A, f) → a
  3. Derivative(f) → f'
  4. Slope(a) → m
  5. Name(m) → A1

AI Drawing Prompt Reference

Draw a function graph and its derivative graph, first mark a point on the function graph, then draw a tangent line at that point, next find the derivative of the function and draw the derivative graph, finally calculate the slope of the tangent line and display it, showing the relationship between the derivative and the slope of the tangent line.
The prompt above was compiled from the original drawing commands and is for reference only.