I have a question about implicit differentiation.
In the case of differentiating the expression x^3+y^3=6xy the right hand side becomes 6xy'+6y where y is regarded as a function of x.
using the product rule
so I get
which is wrong.
Why is the right hand side equal to ?
I (think) I know the key is that y is a function of x but somehow its not clicking as to why the answer is as it is.