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Derivatives of Circular Functions

Derivatives of Circular Functions
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2017-03-19 08:25
FunctionTrigonometryDerivative
This example demonstrates the derivatives of circular functions. Using GeoGebra, we can visually observe the derivative graphs of circular functions. The construction summary uses commands like Point, Tangent, and Slope to show how to draw circular functions and their derivatives with GeoGebra. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(f) → P3
  2. Tangent(P3, f) → tangent3
  3. Slope(tangent3) → slope3
  4. Point(g) → P2
  5. Tangent(P2, g) → tangent2
  6. Slope(tangent2) → slope2
  7. Point(h) → P1
  8. Tangent(P1, h) → tangent1
  9. Slope(tangent1) → slope1

AI Drawing Prompt Reference

Draw the graph of a circular function and its derivative. First, draw the sine function, then select a point on the curve and draw the tangent line at that point, marking the slope of the tangent. Next, draw the cosine function and repeat the same steps. Finally, draw the tangent function and repeat the steps as well.
The prompt above was compiled from the original drawing commands and is for reference only.