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Pertanyaan

Titik stasioner dari fungsi f(x)=1/3x^3-2x^2-5 adalah . . .

1 Jawaban

  • f(x) = 1/3 x^3 - 2x^2 - 5

    Titik stasioner, f'(x) = 0

    3 × 1/3 x^(3 - 1) - 2 × 2x^(2 - 1) - 0 = 0
    x^2 - 4x = 0
    x(x - 4) = 0

    1) x = 0 --> y = f(0) = 1/3 (0)^3 - 2(0)^2 - 5
    = 0 - 0 - 5
    = -5

    2) x = 4 --> y = f(4) = 1/3 (4)^3 - 2(4)^2 - 5
    = 1/3 × 64 - 2 × 16 - 5
    = 64/3 - 32 - 5
    = 64/3 - 37
    = 64/3 - 111/3
    = -47/3

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