Matematika

Pertanyaan

if f'(x) is the first derivative of f(x) x^2(2x-1)^3, the value of f'(1) =...

a.2 b.6 c.8 d.10 e.14

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1 Jawaban

  • u = x^2               v = (2x-1)^3
    u' = 2x                v' = 6(2x-1)^2

    f'(1) = u' . v + u . v'
           = 2x . (2x-1)^3 + x^2 . 6(2x-1)^2
           = 2.1 (2.1-1)^3 + 1^2 . 6(2.1-1)^2
           = 2 . 1 + 1 . 6 
           = 8 C

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