Derivative problem help me

(x - 1) / x^2


quotient rule?

To simplify the problem and to avoid using quotient rule split up the problem

(x-1)/x^2

x/x^2-1/x^2

next rewrite and simplify using formula 1/x^2=x^-2

x^-1-x^-2

next use power rule

-x^-2-(-2x^-3)

if you want it to look better rewrite

-1/x^2+2/x^3

Not necessary.
The easy way:

... f(x) = ( x - 1 ) / x^(2)
or f(x) = ( x - 1 ) * x^(-2)
or f(x) = x^(-1) - x^(-2)
or df/dx = - x^(-2) + 2x^(-3)
or df/dx = (2 - x) / x^(3)