Page 92 - Math Grade 12 (Basic)
P. 92

PROEUS DARA




                                                                              y      I
                                                                 --
                                                                                          X
                                                                                    I y  =  e
                                                                                    I
                                                                                   1/
                                                                 --       ·-·-  e  -        ·---
                                      X
                      X         y   =  e                                      ,.,   I
                                                                              1  I
                                  1
                     -1      y   =  =  0.36                                  /
                                  -
                                  e                                 I
                                                                 x'  I  I     0   1          X
                                   0
                      0       y   =  =  1                                                 ·-·----··
                                  e
                                  1
                                 e
                      1     y   =  =   2.71                                   y'
                   U:ilt1HffHli  e  = 2.7182  tSH~H~t:'i~S  Hmujn.nciftuJructl~Hjt:'i~Stfl~Hrn  IR
                                                            IJ
               fi.  runnn:
                     s



                       m+n     m   11                 -11
                   n.  e   =  e  ·e                2.  e   =   n
                                                           e
                              m
                       m-n   e                                 mn
                   t:'i.  e   =  - n              m.       =  e   '1
                             e
                            or    o       ~o   c:a         e  4x- 1   4x- -x-3
                   !J91UJUI.n  :   mm::UJtlU~~HH'i x  tt:'lms  -- = e       =     4  '1
                                                            x+3
                                                           e
             2. 2.  n:ihtistt~fin~fitHuJnn~iruJru
                                      u


                        ""'""'
              mmg  x  t~sh 0.1;  0.01;  0.001;  o.ooo1;  o.oooo1  '1
              0
                   ~t:'i(fl2fflrlh


                          X             0.1        0.01       0.001      0.0001    0.00001

                            ex- 1
                    H(x)  =  --         .0516     1.0049     1.00047    1.00002        1
                             x

                                                      1
                                              tt=:m  ----;. 1
                                                    X
                            or                cr     x       ot:::»   "'"'   •
                   !J91UJUIII 2:  tt:'i'i:flfH-H1t:1132  y  =  e  '1  HHf:iH~ts y  U'~~  x  '1
                                                                            0
                   m~sru~srun:fh~ tt:'lms
                             (x + L\x)   x 0   x  0    x 0
                              0
                   y'  =  lim  e_---,-__ e_ =  lim  e  ·   - e  =  lime--'----'-
                        L\x - 0   11x    L\x -> 0   11x    L\x - 0
                        xo      L\x      0
                                                                               1
                     = e    lim  e  -I = /  '1  f:iums2  nfh{is~~t:113S y  =  ex  ~~2 t:'li:3s  y'  =
                           L\x -> 0
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