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Trigonometric Function and Derivative

Trigonometric Function and Derivative
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2018-02-23 04:46
FunctionTrigonometryCoordinate GeometryDerivativeGraphing
In collections Rate & Accumulation Yr 4 Much&Fast
This example demonstrates the relationship between the graph of a trigonometric function and its derivative. Key mathematical concepts include trigonometric functions, derivatives, and coordinate geometry. Using GeoGebra commands such as Derivative, Tangent, and Line, the graph of a trigonometric function and its tangent lines are constructed to observe the geometric meaning of the derivative. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Derivative(f) → f'
  2. Segment(C, B) → g
  3. Line(B, yAxis) → h
  4. Line(C, xAxis) → i
  5. Intersect(h, i) → D
  6. Segment(C, D) → j
  7. Segment(D, B) → k
  8. Tangent(A, f) → l