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Kh?o sát hàm s?

    (x)->-5*x^3-3*x^2+5*x+1

??o hàm:
                               y = ?15x2 ? 6 · x + 5
C?c tr?:
                                      ?1           √
                               x1 =      · (3 + 2 · 21)
                                      15
                                      ?1           √
                               x2 =      · (3 ? 2 · 21)
                                      15
Giá tr? c?c tr?:                            √
                                      (?112 ·21 ? 18)
                               y1 =
                                           225
                                           √
                                     (112 · 21 ? 18)
                                y2 =
                                           225
?i?m u?n:
                                             ?1
                                          x=
                                              5
                                             ?2
                                          y=
                                             25
Giao ?i?m v?i tr?c hoành

                        x = [?1.265372, ?0.185712, 0.851084]


   B?ng bi?n thiên:

            x      ?∞            (?2 21?3)              (2 21?3)         +∞
                                     15                    15

           f (x)           ?          0            +       0         ?
                   +∞                                  (112 21?18)
                                                           225
            f
                                (?112 21?18)                             ?∞
                                     225




                                               1
?? th?:
                    y

                3




                1

                                    x
?4        ?2        O       1   3




               ?2




               ?4




                        2

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Btxcas1

  • 1. Kh?o sát hàm s? (x)->-5*x^3-3*x^2+5*x+1 ??o hàm: y = ?15x2 ? 6 · x + 5 C?c tr?: ?1 √ x1 = · (3 + 2 · 21) 15 ?1 √ x2 = · (3 ? 2 · 21) 15 Giá tr? c?c tr?: √ (?112 ·21 ? 18) y1 = 225 √ (112 · 21 ? 18) y2 = 225 ?i?m u?n: ?1 x= 5 ?2 y= 25 Giao ?i?m v?i tr?c hoành x = [?1.265372, ?0.185712, 0.851084] B?ng bi?n thiên: x ?∞ (?2 21?3) (2 21?3) +∞ 15 15 f (x) ? 0 + 0 ? +∞ (112 21?18) 225 f (?112 21?18) ?∞ 225 1
  • 2. ?? th?: y 3 1 x ?4 ?2 O 1 3 ?2 ?4 2