shantevinson
shantevinson
11-01-2017
Mathematics
contestada
Differentiate.
y = ln(t)/t²
Respuesta :
apologiabiology
apologiabiology
12-01-2017
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
[tex] \frac{(1/t)t^2-2tlnt}{(t^2)^2} [/tex]=
[tex]\frac{t-2tlnt}{t^4} [/tex]=
[tex] \frac{1-2ln(t)}{t^3} [/tex]
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