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Derivative as Tangent Slope

Derivative as Tangent Slope
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2014-11-25 03:17
FunctionCalculusDerivativeGraphing
This example demonstrates how students can move a point along a function. At each point, the tangent line and its slope are displayed, with a trace made of the slope of the tangent. Core math concepts include derivatives, constructed using GeoGebra commands/objects like Point, Tangent, Slope, and f, A, a, m, text1_1, B. Suitable for high school or introductory college calculus students learning about function properties and derivatives.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a function graph and move a point on it to display the tangent line and its slope at that point. As the point moves, show and record the change in the slope of the tangent line.
The prompt above was compiled from the original drawing commands and is for reference only.