- #1
quacky
- 2
- 0
Homework Statement
In general I havn't had problems using the differentiation rules until I came on this question, I'm probably doing something stupid any help is handy. Plugged it into an online differentiation solver and it comes up with (x^2-1)/(x^2) which I am getting nowhere near to in my attempts.
Differentiate y = ((1/x)-1)*(1-x)2. The attempt at a solution
Using product rule
f(x)= x^-1 - 1
f'(x)= -x^-2
g(x)= 1-x
g'(x)= 1
f(x)*g'(x) = (x^-1 -1)(1) = x^-1 - 1
g(x)*f'(x) = (1-x)(-x^-2) = -x^-2 + x^-1
Adding them together = -x^-2 + 2x^-1 - 1
Simplifying slightly = -1 / (-x^2 + 2x)
And that's where I'm stuck, really not sure what I'm doing wrong here if its in the differentiation or messing up simplifying etc with algebra (been a long time since I've done math)
Help much appreciated
Thanks
Last edited: