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Gradient of Curves

Gradient of Curves
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2013-12-18 18:00
FunctionCoordinate GeometryDerivative
In collections Power Function Graphs Power Function Graphs
This example demonstrates how to use GeoGebra to draw tangents to a function f and calculate their slopes. Core math concepts include tangents, slopes, and function graphs. Construction highlights involve using commands like Point, Tangent, Slope, and Textfield with objects such as f, A, a, m, text1, text2, inputBox1. Suitable for high school mathematics teaching to understand local properties of function graphs and the geometric meaning of derivatives.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Tangent(A, f) → a
  3. Slope(a) → m
  4. Textfield(f) → inputBox1

AI Drawing Prompt Reference

Draw a function graph and mark a point on it. From this point, draw a tangent line and display its slope. Label the function expression and the slope of the tangent line next to it. Start by plotting the function curve, then select a point on the curve, draw a tangent line from this point, calculate the slope of the tangent line, and finally add text boxes to show the function expression and the slope value.
The prompt above was compiled from the original drawing commands and is for reference only.