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Demonstration of the Derivative of Sine x

Demonstration of the Derivative of Sine x
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2013-07-15 23:48
TrigonometryCalculusDerivative
This example demonstrates the derivative of the sine function using a graphical method. It involves the concept of derivatives of trigonometric functions. Commands used include Tangent, Slope, Vector, Midpoint, etc. Suitable for classroom demonstrations in high school mathematics.

GeoGebra Commands & Parameters

  1. Tangent(P, f) → b
  2. Slope(b) → m
  3. Vector(Q, Q_y) → u
  4. Midpoint(Q_y, Q) → A
  5. Vector(P, P_{xaxis}) → v
  6. Vector(Q, P_{xaxis}) → w

AI Drawing Prompt Reference

Draw the graph of the sine function, then draw a tangent line at a specific point and calculate its slope. Next, draw a vector from the tangent point in the y-axis direction, find the midpoint of the segment from the tangent point to the y-axis, and finally draw a vector from the origin to the tangent point and another vector from the tangent point to the y-axis.
The prompt above was compiled from the original drawing commands and is for reference only.