Loganthmische und exponentielle Diffcrentialicn. 50Y

/'xm 3 X 3 V >

. — —^- fnr 7 --- xn"t-> ,

^ log. x ^ log.>

^X-ax IoF.-X ^ ^<-8.2 X ---7- loA.X

/2x-n3x x-n^> in-j-1 /^xn>3x

^ log.^x log.x ^ 1 ^ log.x '

»x , x" n ax.x"^> n sn—i)gx x"^2

. »x.xn nax.x»->

t a- . x"äx - -

^ log. a Iog>-i

log.2 n

n sn >) (n 2>!>xx»—z n (n l)(n 2) . . . 3 . 2 I

Iog."> n — log n^> a

/^zx^x NX k>x i»g. a

I xn (» >)xu—> (» 1) (n 2) x»^x

!>xlog.2 n

(n I) (n 2) (n —3) xn-^z

gx iolx.n^x n

l» — > ) (n 2) . . . 3 . 2 . I . X

''»x 3 X" ,

i"^äx ---

^ l»s>

log.n^-l n(n 1) (n 2)... 3. 2.1^

»X

/

kix . X

a»

log n

lag.2 s ^

»X . X?

2 »x . x

log. -I

log.2 a

«X . X»

3 zx . x2

log. a

log.-a

x 4-

x loA. n -j-

2 gx

»X . x2 2 »X . X

t a- . x^ äx — ^ — -—- ^ —,

I log. » log.-- a log.2 -2

^ «x. x» 3zx.x- , 6»x.x 6 sx

t a' . x^ clx 22^ ^ —-— ^ — . —,

I log. a log.-a ^ log.-a log.">s

'»gx.l x ^ ^ ^ , (x log. ^ (x log. n)^

(x log.->)"

cl x" /

/^gx (l X IX !>x > , , ^

^ a -I- ^ '

ä x sin. x -22 ° .— sg sin. x — cos. x)^ 0-^-1 ^

NX 3 X

- /

wo log. not. 0 "

e^x sin. x , . , . 2 c»x

e-ix sin. x . 2 c->xt e-"^6x sin.2 X — (a sin. X — 2cos.x) . . ,

j v°'ä x cos.x — — (a eos. x sin.x),

^ »24-1^