deriválási szabályok Flashcards
1
Q
(c × f)’
A
c × f’
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
(f(g(x)))’
A
f’(g) × g’(x)
6
Q
(x^n)’
A
n×x^{n-1}
7
Q
a^x
A
a^x×ln(a)
8
Q
(ln(x))’
A
1/x
9
Q
(log_a(x))’
A
1 / (x×ln(a))
10
Q
(tg(x))’
A
1 / (cos^2(x))
11
Q
(ctg(x))’
A
- ( 1 / sin^2(x) )
