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H9 Derivatives Demo

H9 Derivatives Demo
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2016-07-19 09:00
FunctionCoordinate GeometryDerivativeGeometric Construction
This example demonstrates the derivative of a function at a specific point, visualizing the calculation and geometric interpretation of the tangent slope. Core math concepts include derivatives, tangents, slopes, hyperbolas, logarithmic functions, circles, and hypergeometric distributions. It uses GeoGebra commands/objects like Point, Tangent, Slope, and Segment. Suitable for high school and above students to understand the geometric meaning and practical applications of derivatives.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Tangent(A, f) → t
  3. Slope(t) → m
  4. Segment(A, S) → g

AI Drawing Prompt Reference

Draw a function graph and mark a point on it. From this point, draw the tangent line to the function, display the slope of the tangent line, and connect the point to the value of the slope with a line segment to visualize the calculation and geometric meaning of the tangent slope.
The prompt above was compiled from the original drawing commands and is for reference only.