C 0 (f±g)=f’±g’ 1 p>1 konvergira x 1 dx = x + C (f·g)’=f ...

[Pages:1]Integriranje

Osnovne derivacije

dx = x + C

xrdx=

xr+1 r+1

+ C

c

1

p>1 konvergira

x

np

p 0, |x| < a

arctgx arcctgx

1 1+x2

-1 1+x2

1 a2-x2

=

1 a

arctg

x a

+ C

a > 0

Svojstva deriviranja - pravila

(f?g)=f'?g'

(f?g)'=f'?g+f?g'

(c?f)'=c?f'

(gf )'

f'?g-f?g' g2

[f(g(x))]'=f'(g(x))?g'(x)

-1

1

f (x)=

-1

f'(f (x))

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