QUESTION SOLVED, HELP RECEIVED
So the question is: "At which points do the tangent lines through (1,2) touch y=x/x+1?"
So I've gone through basically everything (fried my brain this one did):
1. Found derivative using quotient rule; "1/(x+1)^2
2. Equalled the slope of the tangent line that passes through (1,2) and (x,x/x+1) to the derivative and solved for x
3. Got the roots x=-1 and x=-2(+or-)sqrt3
4. Rejected x=-1 because of restrictions
Now I believe that the next step is to plug in x into the original y to complete the point. So, err, how do I go about doing that?
Thanks in advance for any and all help.