Exercise 1.  Find the derivatives of the following functions.   

1 (a).  .

Solution 1 (a).

See text and/or instructor's solution manual.

Answer.  .  

Solution.  Applying the rules for differentiation we obtain  

                    

Alternate solution.  Applying the limit definition stated in (3-1) or (3-2) we obtain

          

We are done.   

Aside.  We can let Mathematica double check our work.

This solution is complements of the authors.

(c) 2008 John H. Mathews, Russell W. Howell