**Question:**use Implicit differentiation

5(x^3 + 3y^4)^4(3x^2 + 12y^3y') = 2xy' + 2y

5(x^3 + 3y^4)^4(3x^2) + 5(x^3 + 3y^4)^4(12y^3y') = 2xy' + 2y

15x^2(x^3 + 3y^4)^4 + 60y^3y'(x^3 + 3y^4)^4 = 2xy' + 2y

60y^3y'(x^3 + 3y^4)^4 - 2xy' = 2y - 15x^2(x^3 + 3y^4)^4

y'(60y^3(x^3 + 3y^4)^4 - 2x) = 2y - 15x^2(x^3 + 3y^4)^4

y' = (2y - 15x^2(x^3 + 3y^4)^4)/(60y^3(x^3 + 3y^4)^4 - 2x)

15x^14+180x^11y^4+810x^8y^8+16...

and a partridge and a pair tree!

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