Trig Properties & Series & Integrals/Derivatives Flashcards
1
Q
Derivative of a (constant)
A
0
2
Q
Derivative of xn
A
n * xn-1
3
Q
Derivative of ex
A
ex
4
Q
Derivative of ln(x)
A
1/x
5
Q
Derivative of nx
A
nx * ln(n)
6
Q
Derivative of sin(x)
A
cos(x)
7
Q
Derivative of cos(x)
A
-sin(x)
8
Q
Derivative of tan(x)
A
sec2(x)
9
Q
Derivative of cot(x)
A
-csc2(x)
10
Q
Derivative of sec(x)
A
sec(x) * tan(x)
11
Q
Derivative of csc(x)
A
-csc(x) * cot(x)
12
Q
Derivative of arcsin(x)
A
13
Q
Derivative of arccos(x)
A
14
Q
Derivative of arctan(x)
A
15
Q
Derivative of arccot(x)
A
16
Q
Derivative of arcsec(x)
A
17
Q
Derivative of arccsc(x)
A
18
Q
Integral of 1
A
x + c
19
Q
Integral of sin(x)
A
-cos(x) + c
20
Q
Integral of cos(x)
A
sin(x) + c
21
Q
Integral of tan(x)
A
-ln | cos(x) | + c
22
Q
Integral of cot(x)
A
ln | sin(x) | + c
23
Q
Integral of sec(x)
A
ln | sec(x) + tan(x) | + c
24
Q
Integral of csc(x)
A
-ln | csc(x) + cot(x) | + c
25
Integral of sec2(x)
tan(x) + c
26
Integral of csc2(x)
-cot(x) + c
27
Integral of sec(x) \* tan(x)
sec(x) + c
28
Integral of csc(x) \* cot(x)
-csc(x) + c
29
arcsin(x) + c
30
arccos(x) + c
31
arctan(x) + c
32
arccot(x) + c
33
arcsec(x) + c
34
arccsc(x) + c
35
Derivative of logb(x)
36
Series of 1 / (1 - x)
- 1 \< x \< 1
37
Series of 1 / (1 + x)
-1 \< x \< 1
38
Series of ln(1 + x)
-1 \< x \<= 1
39
Series of arctan(x)
-1 \<= x \<= 1
40
Series of ex
-inf \< x \< inf
41
Series of sin(x)
-inf \< x \< inf
42
Series of cos(x)
-inf \< x \< inf
43
sin(x)
cos(π/2 - x)
44
sec(x)
csc(π/2 - x)
45
tan(x)
cot(π/2 - x)
46
sin(A + B)
sin(A) \* cos(B) + sin(B) \* cos(A)
47
cos(A + B)
cos(A) \* cos(B) - sin(A) \* sin(B)
48
tan(A + B)
49
sin(-x)
-sin(x)
ODD
50
cos(-x)
cos(x)
EVEN
51
tan(-x)
-tan(x)
ODD
52
sin2(x) + cos2(x)
1
53
1 + tan2(x)
Divided original by cos2(x)
sec2(x)
54
sin(2x)
2 \* sin(x) \* cos(x)
55
tan(2Ø)
56
cos2(x)
1 + cos(2x)
------------------
2
57
sin2(x)
1 - cos(2x)
-----------------
2
58
sin(A) \* cos(B)
59
cos(A) \* cos(B)
60
sin(A) \* sin(B)
