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Exercise

$\frac{d}{dx}\left(\left(xy+3\right)^5=2x-2y^3+19\right)$

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Final answer to the exercise

$y^{\prime}=\frac{2-5y^{5}x^4-5x^{5}y^{\left({\prime}+4\right)}-60y^{4}x^3-60x^{4}y^{\left({\prime}+3\right)}-270y^{3}x^2-270x^{3}y^{\left({\prime}+2\right)}-540y^2x-405y}{3\left(180x^2y+135x+2y^2\right)}$

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