Matematika

Pertanyaan

Tentukanlah nilai maksimum f(x) = x3 - 12X +3

1 Jawaban

  • f(x) = x^3 - 12x + 3
    f'(x) = 3x^2 - 12 = 0
    => 3(x^2 - 4) = 0
    => 3(x + 2)(x - 2) = 0
    => x = -2 atau x = 2
    +++ (-2) --- (2) +++
    Karena maksimum maka x = -2 (+++ ---)
    Nilai balik maksimumnya
    f(-2) = (-2)^3 - 12(-2) + 3 = -8 + 24 + 3 = 19

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