Matematika

Pertanyaan

Hitunglah dy/dx jika 3x^2y+xy+xy^2-1 = 0

1 Jawaban

  • jawab

    (3x² y) + (xy )+ (xy²) -  (1)= 0

    (6xy+3x²y') +(y+ xy') + (y²+x 2yy') - 0 = 0

    6xy + 3x²y' + y + xy' + y² + 2x yy' = 0

    y' (3x²+ x + 2xy) = -(6xy + y + y²)

    y' = -(6 xy + y+ y²/(3x² + x + 2xy)


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