derivate Flashcards
1
Q
c’
A
0
2
Q
x’
A
1
3
Q
(x^n)’
A
nx^n-1
4
Q
(sqrtx)
A
1/2sqrtx
5
Q
(1/x)’
A
-1/x^2
6
Q
(e^x)’
A
e^x
7
Q
(a^x)’
A
a^x * ln(a)
8
Q
(ln x)’
A
1/x
9
Q
(loga x)’
A
1/x*lna
10
Q
(arctg x)’
A
1/x^2+1
11
Q
(arcctg x)’
A
-1/x^2+1
12
Q
(arcsin x)’
A
1/sqrt 1-x^2
13
Q
(arccos x)’
A
-1/sqrt 1-x^2
14
Q
(sin x)’
A
cos x
15
Q
(cos x)’
A
-sin x
16
Q
(tg x)’
A
1/cos^2 x
17
Q
(ctg x)’
A
-1/sin^2 x
18
Q
(sqrt x^2 - a^2)’
A
x/sqrt x^2 - a^2
19
Q
(sqrt x^2 + a^2)’
A
x/sqrt x^2 + a^2
20
Q
(sqrt a^2 - x^2)’
A
-x/sqrt a^2 - x^2
