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Derivatives of Trigonometric Functions

Derivatives of Trigonometric Functions
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2016-01-15 23:01
FunctionTrigonometryCalculusDerivativeGraphing
This example demonstrates the calculation and graphical changes of derivatives for trigonometric functions like sine, cosine, and tangent. It involves core math concepts including derivative definition, trigonometric properties, and chain rule. GeoGebra commands such as Derivative, RotateText, Slider, and Locus are used to dynamically display functions and their derivatives with annotations. Suitable for high school and introductory college students learning calculus and trigonometric functions to visually understand the geometric meaning of derivatives.

GeoGebra Commands & Parameters

  1. Derivative(f) → f'
  2. RotateText(text1, 35°) → text2
  3. RotateText(text3, -40°) → text4
  4. Derivative(g) → g'
  5. RotateText(text7, 35°) → text8
  6. Derivative(h) → h'
  7. RotateText(text6, 85°) → text9

AI Drawing Prompt Reference

Draw graphs of sine, cosine, and tangent functions along with their derivatives to demonstrate the calculation and graphical changes of derivatives, using sliders to dynamically display functions and their derivatives, annotated with rotated text to show angles, suitable for high school and introductory college students to visually understand the geometric meaning of derivatives.
The prompt above was compiled from the original drawing commands and is for reference only.