1
Pochodne funkcji elementarnych
( c ) = 0
( xÄ… ) = Ä… xÄ…-1

1 1
= -
x x2

"
1
x = "
2 x
( ex ) = ex
( ax ) = ax · ln a
1
( ln x ) =
x
1
( loga x ) =
x · ln a
( sin x ) = cos x
( cos x ) = - sin x
1
( tg x ) =
cos2 x
1
( ctg x ) = -
sin2 x
1
"
( arcsin x ) =
1 - x2
1
( arccos x ) = - "
1 - x2
1
( arctg x ) =
1 + x2
1
( arcctg x ) = -
1 + x2