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Chain Rule Derivative Demo

Chain Rule Derivative Demo
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2017-06-16 00:12
FunctionCalculusDerivative
This example demonstrates the process of finding derivatives of composite functions using the chain rule, visually showing the relationship between function changes and derivatives. Key math concepts include derivatives, chain rule, function composition, tangent functions, and logarithmic functions. It uses GeoGebra commands and objects like If statements, text fields, numerators/denominators, base functions, sliders, and boolean controls for construction. Suitable for high school and above students to understand the geometric meaning and calculation methods of derivative rules for composite functions.

GeoGebra Commands & Parameters

  1. If(basef ≟ 1, sin(x), If[basef ≟ 2, cos(x), If[basef ≟ 3, exp(x), If[basef ≟ 4, log(x)]]]) → outer
  2. Textfield(s) → InputBox1
  3. Numerator(s) → numer_s
  4. Numerator(t) → numer_t
  5. Denominator(s) → denom_s
  6. Denominator(t) → denom_t

AI Drawing Prompt Reference

Visualize the process of finding derivatives of composite functions using the chain rule, showing the relationship between function changes and derivatives. Include switching between four base functions (sine, cosine, exponential, logarithmic), displaying function graphs, tangents, and derivative calculations, with sliders and boolean controls for interaction, suitable for high school and above students to understand the geometric meaning and calculation methods of derivative rules for composite functions.
The prompt above was compiled from the original drawing commands and is for reference only.