How do you use implicit differentiation to find x^2+3xy+y^3=10

https://tex.z-dn.net/?f=x%5E2%2B3xy%2By%5E3%3D10%5C%5C2x%2B3xy%27%2B3y%2B2yy%27%3D0%5C%5C%282x%2B3y%29%2B%283xy%27%2B2yy%27%29%3D0%5C%5C2x%2B3y%2B%283x%2B2y%29y%27%3D0%5C%5C%283x%2B2y%29y%27%3D-2x-3y%5C%20%2F%5C%20%3A%5C%20%283x%2B2y%29%5C%5Cy%27%3D%5Cfrac%7B-2x-3y%7D%7B3x%2B2y%7D

table 3 represents a direct variation function. : )

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

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