tentukan y' jika x-xy+y^2 = 2
Matematika
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Pertanyaan
tentukan y' jika x-xy+y^2 = 2
1 Jawaban
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1. Jawaban Anonyme
jawab
d{x - xy + y² - 2} /dx =
1 - (1.y + xy') + (2y y') = 0
1 - y - xy' + 2yy' = 0
-xy' + 2yy' = y - 1
y'(- x + 2y) = y - 1
y' = (y - 1)/(2y - x)