x^2y+xy=2 maka dy/dx
Matematika
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Pertanyaan
x^2y+xy=2 maka dy/dx
1 Jawaban
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1. Jawaban Anonyme
jawab
x²y + xy = 2
y (x² + x ) = 2
y = 2/(x² + x)
y = 2 (x² + x)⁻¹
dy/dx = -1 (2) (2x +1) (x² +1)⁻²
dy/dx = -(4x + 2)/(x²+1)²