Verified Answer :

remember

the deritivive of f(x)/g(x)=(f'(x)g(x)-g'(x)f(x))/((g(x))^2)

deritivive of lnx is 1/x
derivitive of t^2=2t

so

\(\frac{(1/t)t^2-2tlnt}{(t^2)^2}\)=
\(\frac{t-2tlnt}{t^4}\)=
\(\frac{1-2ln(t)}{t^3}\)