Comparison of a function, its First Derivative, and its Second Derivative

Click the play button to see the function, its first derivative, and its second derivative in succession. Use the Pause button to slow think through each step before the next derivative is shown.

Then, using the Input window, enter a new function for f(x)

Can you anticipate what the derivative of a function will look like?

G. Battaly, Math Department, Westchester Community College, Created with GeoGebra