- #1

shocklightnin

- 32

- 0

## Homework Statement

Its not homework, i have the answer I am 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).

## Homework Equations

x^3+y^3=3xy

## 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 don't 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.