(22)
L = lim(x->0) [( a^x+b^x+c^x)/3]^(1/x)
lnL =lim(x->0) ln[( a^x+b^x+c^x)/3]/x (0/0)
=lim(x->0) ( (lna)a^x+(lnb)b^x+(lnc)c^x)/( a^x+b^x+c^x)
=( (lna)+(lnb)+(lnc))/3
L = e^[( (lna)+(lnb)+(lnc))/3]
(23)
e^y -e^(-x)+xy =0
(e^y) dy/dx +e^(-x)+xdy/dx +y =0
(e^y +x)dy/dx = -( e^(-x) +y)
dy/dx = -( e^(-x) +y)/ (e^y +x)
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