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Polynomial Function and Its Derivative and Primitive Sketching

Polynomial Function and Its Derivative and Primitive Sketching
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2019-01-24 17:36
FunctionCalculusDerivativeIntegralGraphing
In collections TFM: Introducción al Cálculo Infinitesimal (1º Bachillerato)
This example demonstrates how to use GeoGebra to draw the graph of a polynomial function and its derivative and primitive function; Core math concepts include functions, derivatives, primitive functions, and polynomial functions; Key GeoGebra commands/objects used in construction are F, f, f', show_f, show_fprim, show_fderiv, texto1, texto_fderiv, texto_fprim; Suitable for high school mathematics teaching and learning introductory calculus concepts.

GeoGebra Commands & Parameters

  1. F(x) = (1 / 120 * x^(6)) - (2 / 25 * x^(5)) + (11 / 80 * x^(4)) + (8 / 15 * x^(3)) - (3 / 2 * x^(2)) + 2
  2. f(x) = (1 / 20 * x^(5)) - (2 / 5 * x^(4)) + (11 / 20 * x^(3)) + (8 / 5 * x^(2)) - (3 * x)
  3. f'(x) = (1 / 4 * x^(4)) - (8 / 5 * x^(3)) + (33 / 20 * x^(2)) + (16 / 5 * x) - 3
  4. Boolean show_f(true)
  5. Boolean show_fprim(false)
  6. Boolean show_fderiv(false)