Math 280
Cuyamaca College
Name:______________________
Dan Curtis
List of Derivatives, Integrals and Trig Identities
Derivatives
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
d n
(x )
dx
d
( f ( x) g ( x))
dx
d
f ( x) g ( x)
dx
d f ( x)
dx g ( x)
d
f ( g ( x)
dx
d x
(e )
dx
d
(ln | x |)
dx
d
(sin x)
dx
d
(cos x)
dx
d
(tan x)
dx
d
(cot x)
dx
d
(sec x)
dx
d
(csc x)
dx
d
(sin 1 x)
dx
d
(cos 1 x)
dx
d
(tan 1 x)
dx
17.
18.
19.
20.
21.
d
(cot 1 x)
dx
d
(sec 1 x)
dx
d
(csc 1 x)
dx
d
(sinh x)
dx
d
(cosh x)
dx
Integrals
22.
x n dx
23.
1
x
24.
e x dx
25.
sin x dx
26.
cos x dx
27.
sec2 x dx
28.
sec x tan x dx
29.
csc2 x dx
30.
csc x cot x dx
31.
32.
33.
dx
1
dx
a2 x2
1
dx
2
a x2
1
dx
2
x x a2
n
1
0
π/6
π/4
π/3
π/2
Positive or Negative by quadrant
1st
2nd
3rd
4th
sin x
cos x
tan x
cot x
sec x
csc x
Trig Identities
34. sin 2 x cos2 x
35. 1 tan 2 x
36. sin( x y)
37. cos( x
y)
38. sin 2x
39. cos 2x
Right Angle Trigonometry
40.
41.
42.
43.
44.
45.
sin
cos
tan
cot
sec
csc
hyp
opp
θ
adj
Half-Angle Formulas
46. sin 2 x
47. cos2 x