Page 7 - E-Modul Turunan Fungsi Aljabar
P. 7

  ′(  )  =       (   + h) −   (  )
                                    lim
                                    h→0         h
                                          3
                                                2
                                                         2
                                                              3
                                =          + 3   ℎ+3  ℎ + ℎ + 9 − (   + 9)
                                                                        3
                                    lim
                                    h→0                    h
                                                   2
                                           2
                                =       3   ℎ+3  ℎ + ℎ   3
                                    lim
                                    h→0         h
                                =       ℎ(3   + 3  ℎ + ℎ )
                                             2
                                                          2
                                    lim
                                    h→0          h
                                =  lim(3   + 3  ℎ + ℎ )
                                            2
                                                        2
                                    h→0
                                                    2
                                =  3   + 3  . 0 + 0
                                       2
                                       2
                                =  3   + 0 + 0
                                =  3  
                                       2

                                3
                     d.    (  ) =
                                  
                           (   + ℎ)  =     3
                                            + ℎ


                           ′(  )  =       (   + h) −   (  )
                                    lim
                                    h→0         h
                                =         3   −  3
                                           + ℎ     
                                    lim
                                    h→0     h
                                =        3   − 3(   + ℎ)
                                             (   + ℎ)
                                    lim
                                    h→0        h
                                =       3   − 3   − 3ℎ
                                    lim
                                    h→0 hx(x + h)
                                =          −3ℎ
                                    lim
                                    h→0 hx(x + h)

                                =          −3
                                    lim
                                    h→0 x(x + h)
                                =          −3
                                    lim
                                          2
                                    h→0    + xh
                                =     −3
                                      2
                                       + 0



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