Question

Question #1342e

Answer 1

`f'(x)=-1/(x-1)^2`

Explanation:

`"differentiate using the "color(blue)"quotient rule"`

`"given "f(x)=(g(x))/(h(x))" then"`

`f'(x)=(h(x)g'(x)-g(x)h'(x))/(h(x))^2`

`g(x)=xrArrg'(x)=1`

`h(x)=x-1rArrh'(x)=1`

`rArrf'(x)=(x-1-x)/(x-1)^2=-1/(x-1)^2`