derivative of [y(x^2+y^2)+x]/[x^2+y^2]^2
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[y(x² +y²)+x]/[x² +y² ]²
= [x²y+ y³+ x]. / [(x²+ y²) (x²+y²)]
= x²y+ y³+ x / x⁴+ 2x²y²+y⁴
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