I. — Soit. tj = ( a + 0x m
La difforenliation do la fonction proposée donne successivement : rfy = n [a + bx"‘)"~ l rf {a-t-tx'") = n [a- , r bx"')"~ l d bx" — • — n.b. (a-i-bx"') n ~‘ dx* — m.n.b . (a+ bx “')"~ 1 x ”'~~ 1 dx.
• dll * , » \ 1 t *
~ = mn.o. I a-\-ux ,n j'*-* x m ~\
II. — y = e • ï-ès principes rff“ = e“ rfu, rdn"’ = m«"“ 1 1 rfu
donnent rfy =•(•'* .dx" = n.o’ x"-‘ rf.r.
rfy r
rf.r .
donne :
dx
Lotf e
j d Lor x x ü , dx , ,
d J = — : . Log <r = — = . Log f = — ( Log « )*.
Log J- ü Log» 0 x.Logx v b ‘
t dy ( Log t ) a
dx x Log x