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shantevinson
shantevinson shantevinson
  • 11-01-2017
  • Mathematics
Answered

Differentiate.


y = ln(t)/t²

Verified Answer :

apologiabiology
apologiabiology apologiabiology
  • 11-01-2017

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

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

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