Identify the Function, First, and Second Derivatives


The function `f`   RED   BLUE   BLACK
First derivative `f'`   RED   BLUE   BLACK
Second derivative `f''`   RED   BLUE   BLACK
In the applet you see graphs of three functions. One of these is the "original" function, one is the first derivative, and one is the second derivative. Try to figure out which function is which color. Below the applet, click the color names beside each function to make your guess.