
[Solved]Derivative Help
I need help with these two problems:
1. Find the Derivative of f(x)=((2*x)/(x=1))^2
2. Find the points on the graph of the function f(x) = (x+1)/(x1) where the tangent line(s) to the graph are parallel to the line x+2y = 6.
Can someone walk me through the second one more carefully? I can't find an example of something like it in my notebook. Thanks for any help in advance.


Perfect! Thank you... I was thinking that the concept was harder then that, but you made it crystal clear. Thanks again!
When I worked on question 1., I keep getting a different answer then what my Ti89 gives me. I seem to have misplaced a negative or something. Here's my work:
f(x) = (2x/(x+1))^2
f '(x) = 2(2x/(x+1))((2x*1  2(x+1))/(x+1)^2) >(Chain rule and quotient rule)
f '(x) = 2((2x/(x+1))*(2x2(x+1)/(x+1)^2))
f '(x) = 2((4x^24x(x+1))/(x+1)^3)
f '(x) = 2((4x^24x^24x)/(x+1)^3)
f '(x) = 8x/(x+1)^3
And my calculator gives me 8x/(x=1)^3. What did I do wrong?

Never mind! I realized I was using the quotient rule wrong...