MathPlotAI Logo MathPlotAI

Slope of a Curve

Slope of a Curve
Loading the math board and drawing, please wait…
2016-11-29 03:57
FunctionCalculusDerivative
This example illustrates the concept of derivatives by showing secant and tangent lines to understand slope changes. Key mathematical concepts include derivatives and tangents. GeoGebra commands such as Point, Slope, Line are used to construct the graph. Suitable for high school calculus education and learning.

GeoGebra Commands & Parameters

  1. Point(f) → B
  2. Slope(g) → m_1
  3. Line(A, B) → i
  4. Slope(i) → m
  5. Segment(B_0, B_1) → j
  6. Segment(C, C_1) → k
  7. Midpoint(A, B) → D
  8. Intersect(i, xAxis) → E
  9. Angle(xAxis, i) → α
  10. Point(Circle[B_yy, -0.2]) → F
  11. Segment(B_yy, F) → l
  12. Segment(B_y, B_y2) → n