Page 14 - e-modul turunan fungsi aljabar
P. 14

CONTOH SOAL



                                      
                       Carilah   jika :
                                      
                                                 2
                       a.    = 4 5   + 3   

                       b.     = 2   + 1    − 4

                                     2
                       c.      = (   − 5)(2   − 7)

                              Penyelesaian:

                                                         2
                              a.    = 4(5   + 3)  

                              Misal :    = 4   →    = 8  
                                                 2
                                                         ′
                                        = 5   + 3 →    = 5
                                                          ′
                                                    , maka    =       +     
                              Jadi jika y = u .v                ′       ′         ′

                                                              2
                                ′
                                 = 8    5   + 3 + 4   5
                                 = 40   + 24   + 20  
                                ′
                                          2
                                                              2
                                                                
                                          2
                                ′
                                                                         2
                                 = 60   + 24                    = 60   + 24
                                                                
                              b.    = (2   + 1)(   − 4)

                              Misal:    = 2   + 1 →    = 2
                                                            ′

                                        =    − 4  →    = 1
                                                         ′

                              Jadi jika y = u .v                ′       ′         ′
                                                    , maka    =       +     
                                 = 2(   − 40 = 2   + 1 1
                                ′

                                 = 2   − 8 + 2   + 1
                                ′
                                 = 4   − 7          4   − 7
                                ′






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