Page 10 - e-Modul Turunan Fungsi Aljabar
P. 10

                                                            −   Sifat-sifat

                                                           :    turunan

                    ′
                     (  )
                           (   + ℎ) −   (  )                                                               
                  = lim                   ,                          
                     ℎ→0        ℎ                                            (  ) =   ,                          ℎ:
                                                                                      ′
                                                                                       (  ) = 0
                                                                                                       ℎ    :
                 Contoh                                                    =                                             

                                                ′
                             (  ) = 4   + 3,                 (  )?
                                                                                                               
                                         :                                 (  ) =   ,                          ℎ:

                                                                                 ′
                   (  ) = 4   + 3 →   (   + ℎ) = 4(   + ℎ) − 3                    (  ) = 1

                     ℎ                           ℎ:
                                                                                                                             
                                                                                     
                                      (   + ℎ) −   (  )                   (  ) =   .    ,                          ℎ:
                         ′
                           (  ) = lim                                        ′              −1
                                ℎ→0         ℎ                                 (  ) =   .   (  )

                                (4(   + ℎ) + 3) − (4   + 3)
                     ′
                       (  ) = lim                                          ℎ                    ℎ                            
                            ℎ→0              ℎ
                                                                       (  ) =   (  ) ±   (  ),                          ℎ:
                                (4   + 4ℎ + 3) − (4   + 3)                      (  ) =    (  ) ±   ′(  )
                                                                                      ′
                                                                              ′
                    ′
                      (  ) = lim
                            ℎ→0             ℎ
                                           4ℎ                                                               ℎ                 
                                ′
                                  (  ) = lim                            (  ) =   (  ).   (  ),                          ℎ:
                                       ℎ→0 ℎ
                                                                                 ′
                                                                         ′
                                                                          (  ) =    (  ).   (  ) +   (  ).   ′(  )
                                    (  ) = 4
                                   ′
                 RUmus turunan                                                                              ℎ                 
                                                                                  (  )
                                                                                     (  ) =    (  )  ,                          ℎ:
                                                                                 ′
                                                                              :      (  ) =     (  ).   (  ) −   (  ).   ′(  )
                                                                         ′
                                                                                         2
                                                                                           (  )
                              (  ) =   .    ,                          ℎ:
                                         
                                                                Link materi
                              ′
                                (  ) =   .   (  )   −1
                                                                https://www.youtube.com/watch
                                                     ℎ    :     ?v=6HPjHDtYKX0&ab_channel=I-
                                  =                             MathTutorial                                   10
                                  =               
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