# 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

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

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