`g(t) = ln(t)/t^2` Find the derivative of the function.

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mathace eNotes educator| Certified Educator

`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.`

 

 

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