Analiza Flashcards
1
Q
Integrare prin parti
A
∫f(x)g’(x) = f(x)g(x) - ∫f’(x)g(x)
2
Q
( f +/- g )’
A
f’ +/- g’
3
Q
(f ⋅ g)’
A
f’ ⋅ g + f ⋅ g’
4
Q
( f/g )’
A
f’ ⋅ g - f ⋅ g’ / g^2
5
Q
Asimptote orizontale
A
lim f(x) la +/- ∞
6
Q
Asimptote oblice
A
y = mx+n m = lim ∞ f(x)/x n = lim ∞ [ f(x) - m ⋅ x ]
7
Q
Asimptote verticale
A
lim f(x), x - xo ; x > xo / x < xo
8
Q
Derivata unei functii intr-un punct
A
lim x - xo din f(x) - f(xo) / x - xo
9
Q
Tangenta la grafic
A
y - f(xo) = f’(xo)( x - xo)
10
Q
( arcsin u )’
A
u’ / √ (1 - u^2)
11
Q
( arccos u )’
A
- u’ / √ (1 - u^2)
12
Q
( arctg u )’
A
u’/ 1 + u^2
13
Q
( arcctg u )’
A
- u’/ 1 + u^2
14
Q
(a^u)’
A
a^u ⋅ lna ⋅ u’
15
Q
( sin u )’
A
cos u ⋅ u’
