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anonymous
 5 years ago
use implicit differentiation to solve: y^2xy+x^2=2
anonymous
 5 years ago
use implicit differentiation to solve: y^2xy+x^2=2

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0y'=(22x+y)/(2yx) I did this fast so, you might want to check it.

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0you want to differentiate both sides

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0y is a function of x, so dy/dx will follow the chain rule

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0x^2 is explicitly expressed as a function of x, so there is no need to do chain rule for this one so x^2 just becomes 2x

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0xy will follow the product rule because it is x times a function of x so it is like saying x*sin(x) you will do the product rule for xy and chain rule for y'

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0all you do is to solve for y' from there :)
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