Calculus of a Single Variable, Chapter 5, 5.1, Section 5.1, Problem 53

g(t)=ln(t)/t^2
Find the derivative of the function using the quotient rule.
g'(t)={t^2[1/t]-ln(t)[2t]}/t^4
g'(t)=[t-2tln(t)]/t^4
g'(t)=(t(1-2ln(t)))/t^4
g'(t)=(1-2ln(t))/t^3

The derivative of g(t) is (1-2ln(t))/t^3.