This is my first post, and I'm excited to be able to receive quality help from what seems to be a good place. I'll attempt to start using the proper format and make it easy for everyone to read, thank you for the help! This should be a simple problem, but I seem to have forgotten how to do it. 1. The problem statement, all variables and given/known data Write the equation of the line tangent to the curve 3x3+y3=10xy at the point (1,3) 2. Relevant equations 3x3+y3=10xy 3. The attempt at a solution my attempt revolved around getting x and y on separate sides of the equation, then taking the derivative of each side. I ended up getting: y'(x)=(10y-9x2)/(-10x+3y2) For some reason I thought to plug set that equal to 0 and then plug in my x and y coordinates and then plug that value into x for my original equation, but I know something went completely wrong somewhere, so I'm wondering at what point I went wrong and was wondering if there were a few starting steps I could get to do a problem like this. Thanks!