U' + V' (U * V)' = U' * V + U * V' - VTS NS

Pravila diferenciranja
(c)' = 0
(U + V)' = U' + V'
(U * V)' = U' * V + U * V'
(C*V)' = C * V'
( U V )' =
V(U(x))' = V u ' * U'
U '∗V −U∗V '
V 2
Tablica izvoda elementarnih funkcija
(x)' = 1
(x n )' = n(x n-1 )
(a x )' = a x lna
(e x )' = e x
( log a
(x ) )' =
(lnx)' =
1
x∗lna
1
x
(sinx)' = cosx
(cosx)' = - sinx
(tgx)' =
(ctgx)' = -
(arcsinx)' =
(arccosx)' = -
1
cos 2 x
1
sin 2 x
1
√1−x 2
1
√1−x 2

y ↑ y' > 0
y ↓ y' < 0
(arctgx)' =
(arcctgx)' = -
( √ x )' =
( 3 √ x )' =
( a x )' = -
1
1+x 2
1
1+x 2
1
2√x
1
3 3 √x 2
1
x 2
Monotonost i ekstremi
f U f '' (x) > 0
Konveksnost-konkavnost i prevoji
f ∩ f '' (x) < 0