Slope and Derivative of a Function
You see here the function f(x) = x^{2}/6  2x + 8 and its tangent
line t together with a slope triangle. The slope s of the tangent line is drawn
again starting at the xaxis.

Drag point T with the mouse. This produces a trace of the
slope creating the graph of the slope function.
Which kind of function is this slope function? Try to find the slope
function's equation, too. Write down all your results.

Calculate the first derivative of the function f on paper.

Double click on the drawing pad, type the first derivative
of f into the input field and press Enter.
Choose the "move mode" and drag point T with your mouse again.
What is happening? Write down your observations.
Now close GeoGebra and procede with the next task.
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Created with GeoGebra
by Markus Hohenwarter
