Memorization For AP Exam Flashcards
1
Q
Sin U
A
(Cos U)(U’)
2
Q
Cos U
A
-(Sin U)(U’)
3
Q
Tan U
A
(Sec^2(U))(U’)
4
Q
Cot U
A
-(Csc^2 (U))(U’)
5
Q
Sec U
A
(Sec U)(Tan U)(U’)
6
Q
Csc U
A
-(Cot U)(Csc U)(U’)
7
Q
UV
A
Uv’ + vu’
8
Q
U/v
A
(vu’ - uv’) / v^2
9
Q
U^n
A
(n)(U^n-1)(U’)
10
Q
Ln U
A
1/U * u’ or U’/U
11
Q
E^u
A
(E^u)(U’)
12
Q
LogaU
A
(1/(ln a * u))(U’)
13
Q
A^u
A
(Ln a)(A^u)(U’)
14
Q
Arc Sin U
A
u’/(1 - u^2)^1/2
15
Q
Arc Tan U
A
u’ / (1 + u^2)
16
Q
Arc Sec U
A
u’ / ( |u| (u^2 - 1)^.5)
17
Q
Ln (ab)
A
Ln a + ln b
18
Q
Ln (a/b)
A
Ln a - ln b
19
Q
Ln (a^n)
A
n ln a
20
Q
Ln (e^x)
A
X
21
Q
e^ln x
A
x
22
Q
g’(x)
A
1/ f’(g(x))
23
Q
∫u^n du
A
(u^n+1 / n + 1 ) + C
24
Q
∫du/u
A
ln |u| + C
25
Q
∫u^-1 du
A
ln |u| + C
26
Q
∫e^u du
A
e^u + C
