kap 2 derivasjon og nyttige omgjøringer Flashcards
1
Q
deriver x^r
A
r*x^(r-1)
2
Q
deriver ln(x)
A
1/x
3
Q
deriver e^x
A
e^x
4
Q
deriver a^x
A
(a^x)*ln(x)
5
Q
deriver g(u(x))
A
g´(u(x))*u´(x)
6
Q
Deriver u*v
A
u´v+uv´
7
Q
Deriver u/v
A
(u´v-uv´)/v^2
8
Q
Deriver 1/u
A
-1/u^2
9
Q
Deriver sqrt(x)
A
1/(2*sqrt(x))
10
Q
Deriver abs(u)
A
sgn(u)=u/abs(u)
11
Q
Deriver tan(x)
A
sec^2(x)
12
Q
Deriver sec(x)
A
sec(x)tan(x)
13
Q
Deriver cot(x)
A
-csc^2(x)
14
Q
Deriver csc(x)
A
-csc(x)cot(x)
15
Q
Gjør om tan(x)
A
sin(x)/cos(x)
