Find an equation of the tangent line to the curve xe^y+ye^x=1 at point (0,1).
I do not recall seeing the Implicit Function Theroem before, I even went back in my book (Stewart Calculus 6th) to check. I found this post but it does not help me understand the steps involved: https://www.physicsforums.com/showthread.php?t=79275
The Attempt at a Solution
I am not sure if this requires the product rule but,
Then, I'm not sure on the other part???