Y=In in in(x)求导

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Y=Ininin(x)求导Y=Ininin(x)求导Y=Ininin(x)求导y''=(lnlnln(x))''=(lnlnx)''/lnln(x)=(lnx)''/lnx*lnlnx=1/xlnx*lnln

Y=In in in(x)求导
Y=In in in(x)求导

Y=In in in(x)求导
y'=(lnlnln(x))'
=(lnlnx)'/lnln(x)
=(lnx)'/lnx*lnlnx
=1/xlnx*lnlnx

y' = 1/lnln(x) * 1/ln(x) *1/x
=1/xlnx（lnlnx）

y'=1/lnln(x)*(lnln(x))'=1/lnln(x)*1/(lnx)*(lnx)'=1/lnln(x)*1/(lnx)*1/x=1/(x*lnlnx*lnlnlnx)

y=lnu
u=lnv
v=lnx
易知，y′(u)=1/u.
u′(v)=1/v
v′(x)=1/x
又y'(x)=y'(u)u'(v)v'(x)
=(1/u)(1/v)(1/x)
=1/[(lnlnx)(xlnx)]

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