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First Derivative by StudyForge Interactives

First Derivative by StudyForge Interactives
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2015-10-27 03:42
FunctionCalculusDerivative
This GeoGebra applet demonstrates the relationship between the first derivative and its function by dragging a point on the curve. Key concepts include derivatives and functions. Commands used include Point, Tangent, Slope, and Segment. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Tangent(A, f) → a
  3. Slope(a) → slope
  4. Segment(D, B) → h
  5. Segment((x(A) - 0.25, y(A) - 0.25 * g(x(A))), (x(A) + 0.25, y(A) + 0.25 * g(x(A)))) → Slope_1

AI Drawing Prompt Reference

Draw a function curve and drag a point on it to show the tangent line and its slope. Then draw a segment between the tangent line and the x-axis, and another segment representing the slope value.
The prompt above was compiled from the original drawing commands and is for reference only.