Matematika

Pertanyaan

please jawab.
dgn caranya
please jawab. dgn caranya

1 Jawaban

  • a)
    f'(x) = 6x² - 4x + C
    f'(-1) = 3
    6(-1)² - 4(-1) + C = 3
    6 + 4 + C = 3
    C = -7
    f'(x) = 6x² - 4x - 7
    f(x) = 2x³ - 2x² - 7x + C
    f(2) = 5
    2(2)³ - 2(2)² - 7(2) + C = 5
    16 - 8 - 14 + C = 5
    -6 + C = 5
    C = 11
    f(x) = 2x³ - 2x² - 7x + 11

    b) f'(x) = 4x³ + 6x + C
    f'(1) = -2
    4(1)³ + 6(1) + C = -2
    4 + 6 + C = -2
    10 + C = -2
    C = -12
    f'(x) = 4x³ + 6x - 12
    f(x) = x⁴ + 3x² - 12x + C
    f(-2) = 4
    (-2)⁴ + 3(-2)² - 12(-2) + C = 4
    16 + 12 + 24 + C = 4
    52 + C = 4
    C = -48
    f(x) = x⁴ + 3x² - 12x - 48