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Derivative at a Point

Derivative at a Point
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2019-02-24 18:27
FunctionCoordinate GeometryCalculusDerivativeGraphing
This example demonstrates how to calculate the derivative of a function at a given point. Key mathematical concepts include derivatives and calculus. Using GeoGebra commands such as Point, Line, OrthogonalLine, Intersect, and Segment, the function graph and its tangent line at a specific point are constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Line(A, B) → g
  3. OrthogonalLine(A, xAxis) → i
  4. OrthogonalLine(B, yAxis) → j
  5. Intersect(i, j) → C
  6. Segment(A, C) → k
  7. Segment(C, B) → l

AI Drawing Prompt Reference

Draw the graph of a function and mark a point on it, then draw the tangent line at that point. First, identify a point on the function's graph, then draw a line through this point and another point on the graph. Next, draw two perpendicular lines to the x-axis and y-axis passing through these points, and find their intersection point, which is where the tangent line crosses the axes. Finally, connect this intersection point to the point on the graph and to the other point to complete the tangent line.
The prompt above was compiled from the original drawing commands and is for reference only.