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zhuklara [117]
3 years ago
10

Differentiate. y = ln(t)/t²

Mathematics
1 answer:
azamat3 years ago
6 0
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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