With GeoGebra you can investigate roots, local extrema, and inflection points of polynomial functions. Type the following lines into the input field and press the Enter key after each line.
f(x) = x^3 - 3 x^2 + 1
R = Root[f]
E = Extremum[f]
I = InflectionPoint[f]
In Move you can
drag function f with the mouse now. In this context, the first two
derivatives of f could be interesting too. You get them by typing the
following command into the input field and hitting the Enter key after
each line.
Derivative[f]
Derivative[f, 2]
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