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VARVARA [1.3K]
4 years ago
13

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

Mathematics
1 answer:
steposvetlana [31]4 years ago
3 0
I'm pretty sure that these tips which I give you will make you able to sort things out.
According to the fact that <span>derivative of the function f(x) = y, you an use these formulae in order to calculate the needed result : </span>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.
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