Matematika

Pertanyaan

Jika y=3/4(3x-1)(x+2) maka dy/dx=...

1 Jawaban

  • misal
    u =3 , maka u' = 0
    v = 4 (3x-1)(x+2)
    v= 4 (3x^2+6x-x-2) = 4(3x^2+5x-2)
    = 12 x^2+20x -8 maka v' = 24x+20

    dy/ dx= (u'v - uv')/v^2
    =(0.( 12 x^2+20x -8) - 3 (24x+20))/ (24x+20)^2
    = (0- 72x-60)/ (24x+20)^2
    = -72 x-60 / (24x+20)(24x+20)
    =(24x +20) -3/ (24x+20)(24x+20)
    = -3/ (24x+20)

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