Partial Derivatives Demo 02
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This example demonstrates the geometric interpretation of partial derivatives, visually showing the relationship between partial derivatives and tangent planes through a 3D pyramid model. It involves core mathematical concepts such as partial derivatives, quadratic functions, piecewise functions, and sine functions in 3D space. The construction uses commands like Polygon and CurveCartesian to build the pyramid surface, function curves, and dynamic parameters. Suitable for high school and above learners to understand multivariable calculus concepts and applications.
GeoGebra Commands & Parameters
Polygon(B, A, C, D) → poly1, b_1, a_1, c, dCurveCartesian(t + x0, y0, ((-0.5 * x0) * t) + f(x0, y0), t, -6, 6) → mCurveCartesian(t, y0, (-0.25 * t^(2)) + (0.5 * y0) + 4, t, -6, 6) → k