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Gradient Function of Cos Graph

Gradient Function of Cos Graph
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2013-04-23 12:27
FunctionTrigonometryCalculus
In collections Additional Mathematics (Derivatives)
This example demonstrates the gradient function of the cosine graph. Key mathematical concepts include derivatives and trigonometric functions. Using GeoGebra commands such as Point, Tangent, Slope, and Derivative, the cosine graph and its gradient function are constructed. Suitable for high school mathematics education and learning calculus concepts.

GeoGebra Commands & Parameters

  1. Point(f) → P_3
  2. Point(f) → P_1
  3. Point(f) → P_5
  4. Point(f) → P_2
  5. Point(f) → P_4
  6. Tangent(P, f) → tangent
  7. Slope(tangent) → m
  8. Derivative(f) → f'

AI Drawing Prompt Reference

Draw the cosine function graph, select several points on it, draw tangents at these points, calculate the slope of each tangent, and finally obtain the graph of the derivative of the cosine function.
The prompt above was compiled from the original drawing commands and is for reference only.