(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

find dy/dx for x^{2}y+xy^{2}=6

2. Relevant equations

3. The attempt at a solution

d/dx (x^{2}y+xy_{2}) = d/dx (6)

x^{2}*(dy/dx)+y*2x+x*2y(dy/dx)+2y=0

x^{2}*(dy/dx)+y*2x+x*2y(dy/dx)=-2y

(dy/dx)+y*2x+x*2y(dy/dx)=(-2y/x^{2})

(dy/dx)+y*2x+(dy/dx)=(-2y/x^{2}+2xy)

I'm not sure what to do now, i know that the answer is (2xy-y^{2}/x^{2}+2xy)

I got the denominator correct in my answer but i'm not sure how to get the numerator correctly. Did I go wrong somewhere during the process?

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# Implicit Differentation

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