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Derivative of cos(x)

Derivative of cos(x)
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2013-02-08 12:15
FunctionCalculusDerivativeGraphing
This example dynamically demonstrates the slope of the tangent line at a point on the cosine function graph, visually presenting the geometric meaning of the derivative. Core math concepts include derivatives, tangent slopes, and the cosine function graph. Construction highlights involve GeoGebra commands/objects like Point, Tangent, and Slope. Suitable for high school students learning calculus to understand the definition and geometric significance of derivatives.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw the graph of the cosine function, mark a point on it, draw a tangent line from the point, and then calculate and display the slope of the tangent line to visually show the geometric meaning of the derivative of the cosine function at that point.
The prompt above was compiled from the original drawing commands and is for reference only.