

1

x

' =−

1

x

2





x' =

1

2



x

e

x

' =e

x

a

x

' =a

x

∗ln a

ln x' =

1

x

logax' =

1

x∗lna

 sinx' =cosx

cosx' =−sinx

tgx' =

1

cos

2

x

ctgx' =−

1

sin

2

x

arcsinx' =

1



1−x

2

arccosx' =−

1



1−x

2

arctgx' =

1

1x

2

arcctgx' =−

1

1x

2

k∗ f ' =k∗ f '

 f ± g ' = f ' ± g '

 f ∗g ' = f '∗g f ∗g '



f

g

' =

f '∗g− f ∗g '

g

2

lim

f  xoh− f  xo

h

; h−0

asymptota ukośna :

a=lim

f  x 

x

; x−oo

b=lim f  x−ax ; x−oo