COALITION MATH 151, FALL 1997

        Group II (S. A. Fulling, assisted by Cary Lasher)

                              Day 4.3


    1.  Product and quotient rule (minilecture).

        A.  State product rule with example.  Emphasize that 
        order of terms doesn't matter.  Generalize to more than 
        two factors.

        B.  Prove reciprocal rule:  d/dx 1/g(x) = - g'(x)/g(x)^2.

        C.  Derive quotient rule from reciprocal rule.

        D.  Warnings and advice.

            1.  This derivation helps to remember the sign in the 
            quotient rule.

            2.  It is silly (although correct) to use the 
            quotient rule on d/dx (x^2/100) or d/dx (1/x^3).  
            Product and power rules can be more direct.

    2.  Finish (or do) Maple demonstrations from previous day.
SUCCESSFUL.  (DID 2 BEFORE 1.)