Slope and Derivative of a Function
Compare the slope function f'(x) with the function f(x) itself in the following two drawings.
Dragging point T helps you to do so.

What is the connection between maximum resp. minimum and the
slope of function f? Write down your conjectures.

What is the connection between maximum resp. minimum and the
first derivative of function f? Try to write down the relation in the form of
an equation.
[ previous ]
Created with GeoGebra
by Markus Hohenwarter
