sqrt(x+y) = x Implicit Differentiation find dy/dx

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Find dy/dx for the function sqrt(x+y)=x
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I was just making sure weather you need to multiply the derivative of x + y to the first bit. Thank you brother.

ContraHacker
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dy/dx = 2*sqrt(x+y) - 1
since sqrt(x+y) = x
So dy/dx = 2x - 1

Different solution

sqrt(x+y) = x
x+y = x^2
y = x^2 - x
dy/dx = 2x - 1

steve