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The Product and
 Quotient Rules
     or ...


                  Singing with the
                     Math Cats
The Derivative of a Sum of Functions




Proof:
The Derivative of a Difference of Functions




Proof:
The Product Rule

                   =


                       =   •




                       =
The Derivative of a Product of Functions: The Product Rule




Proof:   The classic proof:
         Adding and subtracting the same value is the same as adding zero
Practicing the Product Rule
The Quotient Rule

           =


                      =




                = x   =1
Sing it with me baby!
Practicing the Quotient Rule




                    We're back! by fofurasfelinas
USING THE
PRODUCT
 RULE

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Calculus 45S Slides March 19, 2008