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Derivative of Sine Function by Krzysztof Sikora

Derivative of Sine Function by Krzysztof Sikora
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2015-08-21 07:17
FunctionTrigonometryDerivative
This example demonstrates the derivative of the sine function. Key mathematical concepts include derivatives and trigonometric functions. Using GeoGebra commands such as Point, Tangent, DynamicCoordinates, Slope, and Segment, the example dynamically shows the tangent lines and slopes of the sine function at different points. Suitable for high school math education and learning calculus concepts.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Tangent(A, f) → a
  3. DynamicCoordinates(A, x(A), Slope[a]) → B
  4. Slope(a) → m
  5. DynamicCoordinates(A, -0.2, m) → C
  6. Segment(B, C) → b
  7. Segment(A, B) → c

AI Drawing Prompt Reference

Draw the graph of the sine function and dynamically show the tangent lines and their slopes at different points. First, draw the sine function graph, then select a point on the graph to draw the tangent line at that point and display the slope of the tangent line. Next, draw a horizontal line segment based on the slope, and finally connect the tangent point and the endpoints of the slope line segment to form a triangle.
The prompt above was compiled from the original drawing commands and is for reference only.