Derivative Fails Demonstration
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This example demonstrates scenarios where the derivative fails, visually illustrating non-existence of derivative at certain points of functions; involves core math concepts like derivatives, polynomial functions, linear regression, median value, Poisson distribution; constructed using GeoGebra objects: f, g, h, p, q, r, A, B, C; suitable for high school and above learners to understand derivative definitions and special cases.
GeoGebra Commands & Parameters
f(x) = x^(2 / 3)g(x) = x^(1 / 3)h(x) = If[1 ≤ x ≤ 4, x^(2)]p(x) = If[-3 ≤ x ≤ 1, (2 * x^(5)) - 1]q(x) = If[-2 ≤ x ≤ 2, x^(3) - 2]r(x) = If[2 ≤ x ≤ Infinity, (2 * x) - x^(2)](2, 6)(2, 0)(-2, -10)