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Quartic Function Derivatives

Quartic Function Derivatives
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2016-10-15 16:20
FunctionCalculusDerivative
This example demonstrates the derivative graph of a quartic function. Key mathematical concepts include quartic functions, derivatives, and their geometric meanings. Using GeoGebra commands a, b, c, d, e, f, g, h, it dynamically shows the changes in the quartic function and its derivative. Suitable for high school math education, helping students understand the concept of derivatives and their applications in function graphs.

GeoGebra Commands & Parameters

  1. Numeric a(0.1)
  2. Numeric b(-0.2)
  3. Numeric c(-0.75)
  4. Numeric d(0.3)
  5. Numeric e(-2.4)
  6. f(x) = (a * x^(4)) + (b * x^(3)) + (c * x^(2)) + (d * x) + e
  7. g(x) = (4 * (a * x^(3))) + (3 * (b * x^(2))) + (2 * (c * x)) + d
  8. y = (12 * (a * x^(2))) + (6 * (b * x)) + (2 * c)