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Gradient to Curve

Gradient to Curve
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2020-04-08 22:58
CalculusDerivativeGraphing
This example demonstrates the tangent line and its slope at a point on a curve. Core math concepts include derivatives, tangent lines, and slopes. It uses GeoGebra commands/objects like Point, Tangent, Slope, and objects f (function), A (point), g (tangent), m (slope). Suitable for high school calculus students to understand the local rate of change of a function at a point.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Tangent(A, f) → g
  3. Slope(g) → m

AI Drawing Prompt Reference

Draw a function curve, then select a point on the curve to draw the tangent line at that point, and label the slope of the tangent line. This will help you understand the local rate of change of the function at a specific point.
The prompt above was compiled from the original drawing commands and is for reference only.