the equation x sin (xy) +2x² defines y implicitly as a function of x. assuming the derivative y' exists, show that it satisfies the equation y'x² cos (xy) +xy cos(xy)+sin (xy)+4x = 0.(adsbygoogle = window.adsbygoogle || []).push({});

Help needed please.

I found the derivative of the first equation is:

sin xy + xy cos xy +4x. It's close to the answer, but not it.

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# Implicit derivation

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