Matematika

Pertanyaan

tentukan turunan pertama dari f(x) = 2x (x + 3)³?

2 Jawaban

  • U = (2x-1)³
    u' = 9(2x-1)

    v = (3x+2)
    v' = 3

    f'(x) = u'v + uv'
    f'(x) = 9(2x-1)(3x+2) + (2x-1)³(3)
    f'(x) = 9(6x²+4x-2) + 3(2x-1)³

    maaf kalo salah
  • f(x)=U.V => f'(x)=U'V+V'U
    U=2x => U'=2
    V=(x+3)³ => V'=3(x+3)²

    f(x)=2x(x+3)³
    f'(x)=2(x+3)³+(3(x+3)²)(2x)
    f'(x)=2(x+3)³+6x(x+3)²

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