Implicit differentiation



I am totally stumped on a ID problem. I have tried it 5 times and I
keep getting different answers.

The problem is find dy/dx for

sqrt(x+3y) + sqrt(xy) = 6

I start by finding the deriv of both sides leaving the deriv of the
left = 0

then I go chain rule on each half of the left.

But, I get lost...Any help is appreciated.

.



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