Find the derivative t / (t - 1)^2.

Find the derivative t / (t - 1)^2.

Help please.

Quotient rule:

[(t-1)^2 * 1 - (t)(2(t-1))] / (t-1)^4

Factor out t-1

(t-1) (t-1 - 2t) / (t-1)^4

(-1 - t) / (t-1)^3

-(t+1) / (t-1)^3

[(t - 1)^2 - 2t(t - 1)]/(t - 1)^4

(-t - 1)/(t - 1)^3