Matematika

Pertanyaan

Tolong kerjakan yang. secepatnya sebenarnya :v no .14
Tolong kerjakan yang. secepatnya sebenarnya :v no .14

2 Jawaban

  • f'(x) = 2ax + b
    f'(-2) = - 3 => - 4a+b = - 3
    f'(2) = 13 => 4a+b = 13
    ___________________(+
    2b = 10 => b=5

    -4a+5 = - 3
    -4a = - 8 => a = 2
    Mk a+b = 2+5 = 7 (C)
  • untuk x = 2 maka
    13 = a.2^2 + b.2 - 3
    16 = 4a + 2b
    8 = 2a + b ..... pers.1
    gradien -3
    m=y'
    = 2ax + b
    -3 = 2a.(-2) + b
    -3 = -4a + b ... pers.2
    eliminasi
    2a + b = 8
    -4a + b = -3
    -------------- -
    6a = 11
    a= 11/6
    maka 2(11/6) + b = 8
    b = 8 - 22/6
    = 26/6
    maka a + b = 11/6 + 26/6 = 37/6