Matematika

Pertanyaan

Tentukan turunan fungsi f(x)=(x^2-16) (x^2-3x+2)

2 Jawaban

  • f(x) = u.v
    f'(x) = u'v+v'u
    u = x^2-16   v = x^2-3x+2
    u' = 2x         v' = 2x-3
    f'(x) = 2x(x^2-3x+2) +  2x-3(x^2-16)
           = 2x^4-6x^2+4x+2x^4-32x-3x^2+48
           = 8x^4-9x^2-28x+48

  • f(x) = (x^2 - 16)(x^2 - 3x + 2)
    = x^4 - 3x^3 + 2x^2 - 16x^2 + 48x - 32
    = x^4 - 3x^3 - 14x^2 + 48x - 32

    f'(x) = 4x^3 - 9x^2 - 28x + 48

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