We'll use the formula of the derivative of a quotient: `(u/v)' = (u'v-u v')/v^2.` Here u=`ln(t)` and `v=t,` therefore `u'=1/t` and `v'=1.` So
`h'(t) = (1/t *t - ln(t))/t^2 = (1 - ln(t))/t^2.`
We'll use the formula of the derivative of a quotient: `(u/v)' = (u'v-u v')/v^2.` Here u=`ln(t)` and `v=t,` therefore `u'=1/t` and `v'=1.` So
`h'(t) = (1/t *t - ln(t))/t^2 = (1 - ln(t))/t^2.`
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