Derivatives and Tangent Lines Demo

Derivatives and Tangent Lines Demo
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2016-10-05 20:42
This example demonstrates the relationship between the derivative and tangent line at a point on a function's graph. Core math concepts include derivatives, tangent lines, secant lines, linear programming, and planes. Construction highlights involve GeoGebra commands Tangent, Derivative, Textfield, and objects like f (function), a (point), A (point), b (point), B (point), g (function), d (point), C (point), FD (object), SD (object), h (object), InputBox1 (input box). Suitable for high school and above students studying calculus and coordinate geometry.

GeoGebra Commands & Parameters

  1. Tangent(A, f) → b
  2. Derivative(f) → g
  3. Tangent(B, g) → d
  4. Derivative(g) → h
  5. Textfield(f) → InputBox1