Section 3.8 Worksheet:

Assigned problems: Exercises pp. 196-198, #1-4, 8, 14, 22, 42, 46, 58 (due Tuesday).

  1. Does the second derivative pose any new challenges from the perspecitve of the mechanics of differentiation? Why or why not?

  2. In the context of the physics of the position of a point as a function of time, what is the meaning of the second derivative? the third derivative?

  3. How many times can you differentiate an tex2html_wrap_inline108 degree polynomial before it ``disappears'' (i.e. becomes identically equal to zero)?

  4. How many times must you differentiate the function tex2html_wrap_inline110 before one of its higher derivatives is again equal to tex2html_wrap_inline110 ? Demonstrate.

  5. What is the factorial function? What is its domain?

LONG ANDREW E
Mon Feb 10 13:27:42 EST 2003