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Derivative of Sine and Cosine

Derivative of Sine and Cosine
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2019-02-24 20:22
FunctionTrigonometryDerivative
This example demonstrates the derivatives of sine and cosine functions. Key mathematical concepts include derivatives and trigonometry. Using GeoGebra commands such as Point, If, Slope, and Sequence, the example dynamically illustrates the concept of derivatives. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(g) → C
  2. Point(f) → A
  3. If(b ≟ 1, Tangent[A, f], Tangent[C, g]) → h
  4. Slope(h) → m
  5. Sequence((i, f'(i)), i, -7, 7, 0.08) → L_1
  6. Sequence((i, g'(i)), i, -7, 7, 0.08) → L_2

AI Drawing Prompt Reference

Draw the graphs of the sine and cosine functions, and display their derivatives. Mark several points on the function graphs and use dynamic tangents to illustrate the concept of derivatives. Plot the derivative graphs of the sine and cosine functions as two curves in the coordinate system, ensuring they correctly represent the derivatives of the original functions.
The prompt above was compiled from the original drawing commands and is for reference only.