Deriveringsregler Flashcards
1
Q
x^a
A
ax^a-1
2
Q
a^x
A
a^x ln a
3
Q
ln x
A
1/x
4
Q
e^x
A
e^x
5
Q
e^kx
A
k*e^kx
6
Q
1/x
A
-1/x^2
7
Q
sin x
A
cos x
8
Q
cos x
A
-sin x
9
Q
tan x
A
1 + tan^2(x) = 1/cos^2(x)
10
Q
f(x)+g(x)
A
f’(x)+g’(x)
11
Q
f(x)*g(x)
A
f(x)g’(x) + f’(x)g(x)
12
Q
f(x)/g(x)
A
(f’(x)g(x) - f(x)g’(x)) / (g(x))^2
13
Q
arcsin x
A
1/sqrt(1-x^2)
14
Q
arccos x
A
-1/sqrt(1-x^2)
15
Q
arctan
A
1/(1+x^2)
