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Derivative and Tangent Line

Derivative and Tangent Line
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2017-09-28 11:36
FunctionCalculusDerivative
This example demonstrates the relationship between derivatives and tangent lines. Key mathematical concepts include derivatives and tangent lines. Using GeoGebra commands such as Point, Vector, Textfield, Sequence, Segment, etc., the tangent line of a function can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_1
  2. Vector(A_1, B) → u
  3. Textfield(f) → inputBox1
  4. Textfield(f) → inputBox2
  5. Textfield(a) → inputBox3
  6. Textfield(b) → inputBox4
  7. Sequence((k, f(k)), k, a, b, Δx) → Graphpts
  8. Sequence(Vector[(0, k), (2, (y_{zoom} * f(k)))], k, a, b, Δx) → MD
  9. Sequence((0, k), k, a, b, Δx) → SourcePtsMD
  10. Sequence((2, (y_{zoom} * f(k))), k, a, b, Δx) → TargPts_1
  11. Segment((0, a), (0, b)) → c