Matematika

Pertanyaan

Jika f’(x) = 8x – 2 dan f(5) = 36, maka f(x) = …

1 Jawaban

  • InTegraL

    f'(x) = 8x - 2

    f(x) = ∫(8x - 2) dx
    f(x) = 8x²/2 - 2x + C
    f(x) = 4x² - 2x + C

    f(5) = 36
    4.5² - 2.5 + C = 36
    100 - 10 + C = 36
    C = -54

    •••
    f(x) = 4x² - 2x - 54

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