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Best regard ; I write you the answer because the procedure is a bit extensive : <img src="https://tex.z-dn.net/?

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Best regard ; I write you the answer because the procedure is a bit extensive : <img src="https://tex.z-dn.net/?f=%5Cmathrm%7BDerivada%5C%3Aimplicita%5C%3A%7D%5Cfrac%7Bdy%7D%7Bdx%7D%5Cmathrm%7B%5C%3Ade%5C%3A%7D3y%3D%5Cleft%28x%2B%5Cfrac%7B1%7D%7Bx%7D%5Cright%29%5Cleft%28x-%5Cfrac%7B1%7D%7Bx%7D%2B1%5Cright%29%3A%5Cquad%20%5Cfrac%7B2x%5E4%2B2-x%2Bx%5E3%7D%7B3x%5E3%7D" />The answer<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%28y%5Cright%29%3D%5Cfrac%7B2x%5E4%2B2-x%2Bx%5E3%7D%7B3x%5E3%7D" />I hope the solution is correct, qualifies the help of this response, in order to improve the next ones.