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Diketahui f(x)= (x-4)(2x-1) dan f'(p)=15. Nilai f(p)= A.22 B. 15 C.8 D.6 E.2 Mohon bantuannya serta caranya

1 Jawaban

  • f(x) = (x-4)(2x-1)
    u = x-4 , u' = 1
    v = 2x-1 , v' = 2

    f'(x) = u'v + uv'
    = (1)(2x-1) + (x-4)(2)
    = 2x-1 + 2x-8
    = 4x-9
    f'(p) = 4p-9
    15 = 4p-9
    24 = 4p
    p = 6

    Maka: f(p) = (p-4)(2p-1)
    = (6-4)(6×2-1)
    = 2(12-1)
    = 22

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