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  1. Find the derivatives of the following functions three different ways using Maple. From the definition, using the D command, and using the diff command. Note that Maple has its own ideas of what form the answer should take, so some of your answers may look unfamiliar or be more complicated than you think they should.
    1. displaymath341

    2. displaymath342

    3. displaymath343

    4. displaymath344

    5. displaymath345

  2. Determine the derivative of the function f(x) defined by


    for all values of x for which f'(x) exists. Describe how you obtained your results.

  3. Suppose that s(t), defined as


    for tex2html_wrap_inline365 , describes motion of a particle in one dimension. That is, s is the distance of the particle from some reference point as a function of time.

    1. Find the secant line of the graph of s between t=1 and t=2.
    2. Describe how you can use your answer to the first part of this exercise to compute the average velocity of the particle over the time interval tex2html_wrap_inline375 . Report the value of the average velocity.

Sean O Anderson
Tue Sep 17 09:51:10 EDT 1996