Question

what is dy/dx:
x^2=x-y/x+y

Answer 1

Implicit D!

Answer 2

\[2x = \frac{(x-y)^{\prime}(x+y)-(x+y)^{\prime}(x-y)}{(x+y)^2}\]
\[2x = \frac{(1-y^{\prime})(x+y)-(1+y^{\prime})(x-y)}{(x+y)^2}\]
Now just collect everything and factor out the y prime

Answer 3

how do I factor out the y prime?