Exploring the Gradient of a Function

Exploring the Gradient of a Function
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2016-10-03 02:06
This example demonstrates how to dynamically visualize the tangent line and its slope at a point on a function using GeoGebra. Core mathematical concepts include functions, derivatives, tangent slope, and analytical geometry. Key GeoGebra commands/objects used are Tangent, Slope, x_1, f, A, g, m, B, and a, which help illustrate the geometric meaning of derivatives and tangent line calculations. Suitable for high school calculus instruction.

GeoGebra Commands & Parameters

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