Matematika

Pertanyaan

1. Jika f(x) = ax + bx² dan f¹(1) = 5 dan f¹(2) = 7, maka nilai ab = ...
2. Diketahui y = (3x - 4)². Supaya dy/dx = 12, maka nilai x = ...

1 Jawaban

  • 1. f(x) = ax + bx²
    f'(x) = a + 2bx

    5 = a + 2b
    7 = a + 4b
    --------------- -
    -2 = -2b
    b = 1

    5 = a + 2
    a = 3

    ab = 3 × 1 = 3

    2. y = (3x - 4)²
    y' = 2(3x - 4) × 3 = 6(3x - 4)
    18x - 24 = 12
    18x = 36
    x = 2

Pertanyaan Lainnya