Question

Differentiate. y = ln(t)/t²

Answer 1

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

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