Matematika

Pertanyaan

Tolong jawab no 10 dengan caranya
Tolong jawab no 10 dengan caranya

1 Jawaban

  • f(x) = bx²+ax+4
    g(x) = ax²+bx+4

    f'(2) = -9
    g'(-2) = -15
    ------------------------
    f(x) = bx²+ax+4
    f'(x) = 2bx+a

    g(x) = ax²+bx+4
    g'(x) = 2ax+b
    ------------------------
    f'(x) = 2bx+a
    f'(2) = 2b.2+a
    -9 = 4b+a... pers.1

    g'(x) = 2ax+b
    g'(-2) = 2a.-2+b
    -15 = -4a+b... pers.2
    -----------------------

    a+4b = -9 |×4|
    -4a+b = -15 |×1|
    ----------------
    4a+16b = -36
    -4a+b = -15
    ------------------- (+)
    17b = -51
    b = -51/17
    b = -3

    subtitusi ke a+4b = -9
    a+4b = -9
    a+4.(-3) = -9
    a+ -12 = -9
    a = -9+12
    a = 3
    ---------------------------------
    jadi a+b yg memenuhi yaitu,
    a+b = 3+(-3)
    = 0