Wetzel

Math 140

2.3 – Product and Quotient Rules and Higher-Ordered Derivatives

Product Rule –

Ex.:      Find f’(x).

1.)                                           2.) 

3.)                                                     4.) 

Quotient Rule –

Ex.:      Find f’(x).

5.)                                                        6.) 

7.)                                                                          8.) 

Higher-Order Derivative –

            1^st derivative                                                

            2^nd derivative                                            

            3^rd derivative                                           

Ex:

9.)  , find

10.)  , find

Application Problem –

            Position Function –                  

            Velocity Function –                   f

            Acceleration Function –           

More Trig. Derivatives -       (*MEMORIZE*)

HW:  p.126 #1-11odd, 25-31odd, 39-45odd, 93-101odd, 115