- #1
QuarkCharmer
- 1,051
- 3
Homework Statement
d/dt t/(t-1)^2
Homework Equations
No Chain Rule.
The Attempt at a Solution
[tex] \frac{d}{dt} \frac{t}{(t-1)^2} [/tex]
[tex]\frac{t\frac{d}{dt}(t-1)^2 - (t-1)^2 \frac{d}{dt}t}{(t-1)^4}[/tex]
[tex]\frac{t\frac{d}{dt}(t^2-2t+1) - 1(t-1)^2}{(t-1)^4}[/tex]
[tex]\frac{t(2t-2)-(t-1)^2}{(t-1)^4}[/tex]
[tex]\frac{2t^2-2t-t^2+2t-1}{(t-1)^4}[/tex]
[tex]\frac{(t+1)(t-1)}{(t-1)(t-1)^3}[/tex]
[tex]\frac{(t+1)}{(t-1)^3}[/tex]
The book shows the solution being negative. I can't figure out where I am going wrong here.