Derivative of a Cubic - Exploration using GeoGebra
by M. Bourne
You are looking at the graph of a cubic polynomial, f(x) = x3 − 4x2 + x + 6 (in blue).
The green curve is the first derivative of f(x).
Directions: Click on the point A and drag it slowly left or right. You will see the slope of the curve change as well as a trace of the point B, which is on the first derivative curve.
For an explanation of how this interactive was created using GeoGebra, see
GeoGebra math software - a review
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