Classroom activities: example
Construction steps
1. In the input bar enter a cubic function: e.g. f(x)=x^3-2x^2-2x+2
2. Use New Point to add a point on the curve.
3. Use Tangent to create a tangent to the curve at point A.
4. Use Slope to measure the gradient of the tangent.
5. Plot the gradient function by entering g(x)=f '(x) in the input bar.
Question for discussion
- How is the gradient of the tangent (as the point moves) related to the shape of the gradient graph?
Problem
Change your function in GeoGebra so that is has the following gradient functions:
