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finnk
@finnk
August 2022
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найти экстремумы и интервалы возрастания и убывания функций.
y=lnx/x
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mikael2
Y'=(u/v)'=1/v²[u'v-v'u] u=lnx u'=1/x v=x v'=1
y'=1/x²[1-lnx]
---------------------0------------------ e-----------------------
- + -
экстремумы x=0 асимптота и x=e.
убывает (-∞;0)∪(e;∞)
возрастает (0;e)
2 votes
Thanks 2
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Answers & Comments
y'=1/x²[1-lnx]
---------------------0------------------ e-----------------------
- + -
экстремумы x=0 асимптота и x=e.
убывает (-∞;0)∪(e;∞)
возрастает (0;e)