Derivative Graph Relationships Demo
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This example demonstrates the relationships between a function and its first and second derivatives graphically. It involves core math concepts like derivatives, second derivatives, function graphs, and critical points. Construction highlights include using Polynomial, TurningPoint, and Intersect commands, along with objects like gap, B, C, D, E, A, f, f', f'', a, b, c, d, e, F, G, g, h, H, I, i, J, K, L, M, N, O, j, k, l, m, forwardButton, step, text1, text2, text3, maxStep. Suitable for high school students learning calculus to understand the connection between derivatives and function graphs.
GeoGebra Commands & Parameters
Polynomial({A, B, C, D, E}) → fTurningPoint(f) → F, GIntersect(f', g) → HIntersect(f', h) → IIntersect(f', d) → J, K, L