Matematika

Pertanyaan

Tlng banntu jwb
Misalkan y=(x-3)(x²+7x-1) maka y'=

2 Jawaban

  • y=uv -> y'=u'v+uv'
    y=(x-3)(x²+7x-1)
    y'= (x)(x²+7x-1)+(x-3)(2x+7)
    y'=x³+7x²-x+2x²+7x-6x-21
    y'=x³+9x²-21
  • Rumus:
    y = u.v
    y' = u'.v + u.v'

    Penyelesaian: 
    y = (x - 3)(x² + 7x - 1) 
    y' = 1.(x
    ² + 7x - 1) + (x - 3).(2x + 7)
    y' = x² + 7x - 1 + 2x² + x - 21
    y' = 3x² + 8x - 22

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