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2x/(x+y)=y

Method1:

2x=xy+y^2

d/dx(2x)=d/dx(xy+y^2)

2=y+xy'+2y(y')

y'=(2-y)/(x+2y)

Method2:

2x/(x + y) = y

y' = [2(x + y) - (2x)(1 + y')]/(x + y)^2

[(x + y)^2 + 2x]y' = 2(x + y) - 2x

y' = 2y/[(x + y)^2 + 2x]

Which method is using "implicit" differentiation?

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# Homework Help: How to differentiate 2x/(x+y) = y, implicitly?

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