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.

Please install Java 1.4 (or later) to use this page.

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

2. 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.

Please install Java 1.4 (or later) to use this page.

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