Derivatives of a Function

INSTRUCTIONS:
Move the points around on the function.
Point A_1 will trace the first derivative of the function and
Point A_2 will trace the second derivative of the funcion.

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What does the first and second derivative of a function tell us about the function?

Can you sketch the function with your knowlege of your first and second derivative tests?

Allison Mumford, Created with GeoGebra