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

Its not homework, i have the answer im just having a hard time wrapping my head around the concept of differentiating implicitly defined functions.

the question was: x^3+y^3=3xy, find the equation of the tangent line at the point (3/2,3/2).

2. Relevant equations

x^3+y^3=3xy

3. The attempt at a solution

so what my prof did was:

1)x^3+y^3=3xy

2)3x^2+3y^2(dy/dx)=3y+3x(dy/dx)

i get the part on the left, but i dont understand how he got the part on the right... :/

if anyone could just elaborate on the steps in between those two it would be much appreciated for my understanding. thank you.

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# Homework Help: Implicit Differentiation concept help?

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