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abujafarjon99p4ojjk
@abujafarjon99p4ojjk
June 2022
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продифференцировать функцию логогрифмировать и через е
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mikael2
Y=(sin3x)^arccosx
lny=arccosx*lnsin3x
y'/y=[arccosx*lnsin3x]
u=arccosx u'=-1/√1-x² v=lnsin3x v'=3cos3xsin3x
y'/y=u'v+v'u = -lnsin3x /√1-x² +3cos3xsin3x*arccosx
y'=(sin3x)^arccosx[ -lnsin3x /√1-x² +3cos3xsin3x*arccosx]
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Answers & Comments
lny=arccosx*lnsin3x
y'/y=[arccosx*lnsin3x]
u=arccosx u'=-1/√1-x² v=lnsin3x v'=3cos3xsin3x
y'/y=u'v+v'u = -lnsin3x /√1-x² +3cos3xsin3x*arccosx
y'=(sin3x)^arccosx[ -lnsin3x /√1-x² +3cos3xsin3x*arccosx]