deeivative Flashcards
(19 cards)
1
Q
Dx(u^n)
A
n(u^n-1)Dxu
2
Q
Dx(u+v)
A
Dxu+Dxv
3
Q
Dx(uv)
A
uDxv+vDxu
4
Q
Dx(u/v)
A
(vDxu-uDxv)/v^2
5
Q
Dx e^u
A
e^u Dxu
6
Q
Dx a^u
A
a^u ln(a) Dxu
7
Q
Dx ln(u)
A
(1/u) Dxu
8
Q
Dx sinu
A
cosu Dxu
9
Q
Dx(cosu)
A
-sinu Dxu
10
Q
Dx(tanu)
A
sec^2u Dxu
11
Q
Dx(cotu)
A
-csc^2(u) Dxu
12
Q
Dx (secu)
A
secutanu Dxu
13
Q
Dx (cscu)
A
-cscucotu Dxu
14
Q
Dx (sin^-1u)
A
1/ sq rt (1-u^2) Dxu
15
Q
Dx (cos^-1u)
A
-1/ sq rt (1-u^2) Dxu
16
Q
Dx (tan^-1u)
A
1/ 1+ u^2 Dxu
17
Q
Dx (cot^-1u)
A
-1/ 1 + u^2 Dxu
18
Q
Dx (sec^-1u)
A
1/ |u| sq rt (u^2 -1) Dxu
19
Q
Dx (csc^-1u)
A
-1 / |u| sq rt (u^2 -1) Dxu
