Don't use the quotient rule.
Rewrite the equation as
and then use implicit differentiation.
I'm having trouble with this question.
Find dy/dx by implicit differentiation.
(x+y)/(x-y) = 3x
First I use the quotient rule getting:
[(1 + y')(x-y) - (1 - y')(x+y)] / [(x-y)^2] = 3
Then I factor out y' and solve the equation for y' which gives me:
y' = [3x^2 - 6xy +3y^2]/[2x - 2y]
but the answer is:
[6x - 3y - 1]/[3x + 1]
not sure what i'm doing wrong so any help would be appreciated. thanks