LISTA 7
Pochodna i r żniczka funkcji
c = 0, c = const
(xą) = ąxą-1, ą "
1 1
( ) = - , x " \ {0}
x x2
"
1
"
( x) = , x " *" {0}
+
2 x
(ex) = ex, x "
(ax) = ax ln a, a " , x "
+
1
(ln x) = , x " +
x
1
(loga x) = , a " \ {1}, x " +
+
x ln a
(sin x) = cos x, x "
(cos x) = - sin x, x "
1 Ą
(tg x) = , x = + kĄ, k "

cos2 x 2
1
(ctg x) = - , x = kĄ, k "

sin2 x
1
(arcsin x) = " , x " (-1, 1)
1 - x2
1
(arccos x) = -" , x " (-1, 1)
1 - x2
1
(arctg x) = , x "
1 + x2
1
(arcctg x) = - , x "
1 + x2