Matematika

Pertanyaan

Dik : f"(x)= 2x -4, f'(3)= -4 dan f(0)= 5. Nilai f(3) adalah...
A.-32 b.-27 c.-22 d.-18 e.-7

1 Jawaban

  • f"(x) = 2x - 4

    f'(x) = x^2 - 4x + c
    f'(3) = 3^2 - 4(3) + c
    -4 = 9 - 12 + c
    c = -1
    f'(x) = x^2 - 4x - 1

    f(x) = (1/3)x^3 - 2x^2 - x + c
    f (0) = (1/3)(0)^2 - 2(0)^2 - 0 + c
    5 = 0 - 0 - 0 + c
    c = 5
    f(x) = (1/3)x^3 - 2x^2 - x + 5

    f(3) = (1/3)(3)^3 - 2(3)^2 - 3 + 5
    = 9 - 18 - 3 + 5
    = -7

    Jawaban E

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