Matematika

Pertanyaan

f'(x) = 6x^2 - 2x + 7 dan f(2) = 12 tentukan rumus fungsi

2 Jawaban

  • F(x) = ∫ 6x² - 2x + 7
            = 6/3 . x²⁺¹ - 2/2 . x¹⁺¹ + 7/1 . x⁰⁺¹
            =  2x³ - x² + 7x
    F(2) = 2(2)³ - (2)² + 7(2) + c = 12
            = 16 - 4 + 14 + c = 12
                26 + c = 12
                         c = -13
    maka rumus fungsi :
    f(x) = 2x³ - x² + 7x - 13
  • f'(x) = 6x² - 2x + 7

    u/ f(2) = 12
    f(2) = 6x² - 2x + 7 = 12
    f(2) = 6(2)² - 2(2) + 7 = 12
    f(2) = 6(4) - 4 + 7 = 12
    f(2) = 24 - 4 + 7 = 12
    f(2) = 24 + 3 = 12
    f(2) = 27 = 12
    f(2) = 12 - 27
    f(2) = -15

    smoga brmanfaat.

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