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


`((1/t)t^2-2tlnt)/((t^2)^2)`=

`(t-2tlnt)/(t^4)`=

`(1-2ln(t))/(t^3)`