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Derivatives of Trigonometric Functions by Alvaro Serra

Derivatives of Trigonometric Functions by Alvaro Serra
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2013-02-24 19:08
FunctionTrigonometryCalculusDerivativeGraphing
This example is a GeoGebra dynamic worksheet designed to investigate the derivatives of trigonometric functions. It demonstrates the dynamic relationship between trigonometric function graphs and their derivative graphs. Key math concepts include trigonometric functions, derivatives, and function graphing. The construction utilizes GeoGebra commands and objects such as Textfield, Tangent, f, g, f', g', inputBox1, inputBox2, a, P, b. Suitable for high school students learning calculus and trigonometry.

GeoGebra Commands & Parameters

  1. Textfield(f) → inputBox1
  2. Textfield(g) → inputBox2
  3. Tangent(P, f) → b

AI Drawing Prompt Reference

Create a dynamic illustration showing the relationship between trigonometric functions and their derivatives, with input boxes for users to enter two trigonometric functions, calculate their derivatives, and use a tangent tool to mark key points on the function graphs, then plot both the original and derivative functions to demonstrate their dynamic connection.
The prompt above was compiled from the original drawing commands and is for reference only.