Problem:
Draw the graphs of the function

and its second derivative on the closed interval [-2, 4].


Visualization:
Using the TI-85 graphing calculator:


[Press here to see animation again!]

  1. If you are not familiar with the graphing of functions on the TI-85, then first read the Initial Setup page from Little's Basic Guide to the TI-85.
  2. Press the GRAPH key and then pick y(x)= by pressing the F1 key.
  3. If necessary, keep pressing F4 key until only y1= appears on the screen.
  4. At the prompt y1=, type in

    (x^3 + 1)

    and press the ENTER key.

  5. At the prompt y2=, type in

    der2(y1,x,x)

    and press the ENTER key.
    You can enter der2 by pressing 2nd CALC followed by the F4 key.

  6. The range settings for the graph above is  [-2, 4] × [-4, 8]:

  7. Press the F5 key to choose GRAPH. The first graph drawn is the graph of f(x):