Chain Rule Demonstration
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Multivariable Calculus
This example demonstrates the application of the Chain Rule in derivative calculations for composite functions, dynamically showing the derivative computation through plotted curves. Core math concepts include derivatives, composite functions, and analytical geometry. Construction highlights involve using GeoGebra's CurveCartesian command for plotting, with objects X, Y defining coordinates, parameters a, t, H, A, B defining points, and text elements text1, text2, text3 for annotations. Suitable for high school and university students learning calculus, particularly the Chain Rule, and for foundational mathematics education.
GeoGebra Commands & Parameters
CurveCartesian(X(s), Y(s), f(X(s), Y(s)), s, 0, (4 * π)) → a