Analyzing Derivatives

Analyzing Derivatives
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2016-08-18 02:28
This example demonstrates how to analyze the derivative of a function through dynamic visualization. The core mathematical concepts involved include derivatives, secant lines, and quadratic functions. The construction highlights the use of GeoGebra commands and objects such as f (function), a (point), A (point), and g (object). It is suitable for high school students learning calculus to understand the geometric and physical significance of derivatives.

GeoGebra Commands & Parameters

  1. f(x) = x^(2) + 1
  2. Numeric a(0.45)
  3. (a, f(a))
  4. g(x) = ((2 * a) * (x - a)) + f(a)