TA

BE

L

DE

RIV

AT

E

REGULI DERIVARE

1

21 1

( )

ln ( ) ( ) ( ( ( )) ( ) ( ( )) ( )

=

ll l l l l

l l ll l l

l

l l

ll

l

lg g g l l ll l

cf cf f g f g f g f g f g

f f gf y

f x

f g f f f f g x f g x

f gf g h f g h f g h f g

x f g x g

g g

x

h

f g

0lc 1 lx 2 2 l

x x 3 23 l

x x ,…, 1 ln nx nx

1 lp px px 1

lp p lu n u u

2

1 1l

x x

2

1 1l

luu u

1

1n n

ln

x x

1

1 ln n

ln

uu u

1

2

l

xx

1

2

llu u

u

1

1ln

n nx

n x

1

1lln

n nu u

n u

lx xe e u u ll

e e u

lx xa a lna

lu u la a lna u

1ln

lx

x 1

lgln10

lx

x

1

lnl lu u

u 1

lgln10

l lu uu

1log

lnl

b xx b

1log

lnl l

b u uu b

l

l

sinx cosx

cosx sinx

22

11

cosl

tgx tg xx

22

11

sinl

ctgx ctg xx

sin cos

cos sin

l l

l l

u u

u u

u

u

22

11

cosl l ltgu u tg x u

u

22

11

sinl l lctgu u ctg u u

u

2

1arcsin

1

lx

x

2

1arccos

1

lx

x

2

1

1l

arctgx

x

2

1

1l

ar gxx

cct

2

1arcsin

1

l lu uu

2

1arccos

1

l lu uu

2

1

1l larc utg

uu

2

1

1l larcct u ug

u