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Find y prime if arctan(xy) = 1 + (x^2*y)

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I'm pretty sure that these tips which I give you will make you able to sort things out.
According to the fact that derivative of the function f(x) = y, you an use these formulae in order to calculate the needed result :
arctan(xy) = 1+ x^2*y =\ \textgreater \ xy = tan(1+x^2y)

y + xy' = sec^2(1+x^2y)(2x*y + y'*x^2)
Do hope this will lead you to the corect answer! Regards.
User Qiao
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