Implicit derivation help? Please give me a hint (possibly a line #)

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ok so i am having trouble with finding the implicit derivative for this problem. I am doing it on an ipad and here is a screen shot of my work. A hint would better than a solution! Thanks.enter image description here

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Derivative on $R.H.S.$ is fine but on $L.H.S$, $$\dfrac{\mathrm{d}\left(\sqrt{xy}\right)}{\mathrm{d}x}=\dfrac{1}{2}\left(xy\right)^{-1/2}\dfrac{\mathrm{d}(xy)}{\mathrm{d}x}$$

and $$\dfrac{\mathrm{d}(xy)}{\mathrm{d}x}=y+xy'$$