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

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)