differential calculus Flashcards
1
Q
d/dx sinx
A
cosx
2
Q
d/dx secx
A
secxtanx
3
Q
d/dx tanx
A
sec2x
4
Q
d/dx cosx
A
-sinx
5
Q
d/dx cscx
A
-cscxcotx
6
Q
d/dx cotx
A
-csc2x
7
Q
cos-x
A
cosx
8
Q
sin-x
A
-sinx
9
Q
cos(a+b)
A
cosacosb-sinasinb
10
Q
sin(a+b)
A
sinacosb+sinbcosa
11
Q
tanx
A
sinx/cosx
12
Q
cscx
A
1/sinx
13
Q
cotx (2)
A
cosx/sinx = 1/tanx
14
Q
secx
A
1/cosx
15
Q
cos2x+sin2x =
A
1
16
Q
sec2x
A
1+tan2x
17
Q
csc2x
A
1+cot2x
18
Q
cos0
A
1
19
Q
sin0
A
0
20
Q
tan0
A
0
21
Q
cos-1
A
1
22
Q
sinx/x
A
1
23
Q
1-cosx/x
A
0
24
Q
tanx/x
A
1
25
Q
sin(2x)
A
2sinxcosx
26
Q
1/2 sin(2x)
A
sinxcosx
27
Q
cos(2x)
A
cos2x-sin2x
28
Q
hospital rule
A
f(x)/g(x) = 0/0 or infinity / infinity = other derivative
