calc unit 3 Flashcards
1
Q
product rule
A
a’b+ab’
2
Q
quotient rule
A
ba’-b’a/b^2
3
Q
chain rule
A
f’(u)u’
4
Q
derivative of a^x
A
(lna)a^x
5
Q
derivative of log a^x
A
1/(lna)x
6
Q
derivative of sin
A
cos
7
Q
derivative of cos
A
-sin
8
Q
derivative of tan
A
sec^2
9
Q
derivative of csc
A
-csc cot
10
Q
derivative of sec
A
sec tan
11
Q
derivative of cot
A
-csc^2
12
Q
pi/6
A
(sqrt(3)/2, 1/2)
13
Q
pi/4
A
(sqrt(2)/2, sqrt(2)/2)
14
Q
pi/3
A
(1/2, sqrt(3)/2)
15
Q
pi/2
A
(0,1)
16
Q
arcsin u
A
u’/sqrt(1-u^2)
17
Q
arctan
A
u’/(1+u^2)
18
Q
arcsec u
A
u’/(|u|sqrt(u^2-1))
19
Q
arccos u
A
-u’/sqrt(1-u^2)
20
Q
arccot u
A
-u’/(1+u^2)
