Equations Flashcards
(35 cards)
1
Q
e^0
A
1
2
Q
ln(e)
A
1
3
Q
ln(1)
A
0
4
Q
e^infinity
A
infinity
5
Q
e^negative infinity
A
0
6
Q
ln infinity
A
infinity
7
Q
e^lnx
A
x
8
Q
logx(x)^a
A
a
9
Q
a^loga(y)
A
y
10
Q
ln(e)^w
A
w
11
Q
definition of the derivative
A
(f(x+h)-f(x))/h
12
Q
second definition of the derivative
A
(f(x)-f(a))/x-a
13
Q
chain rule derivative of f(g(X))
A
(f’(x)g(x))(g’(x))
14
Q
f(x)=a^x, f’(x)=?
A
(a^x)((ln)a)
15
Q
sinx domain and range
A
(-pi/2,pi/2), (-1,1)
16
Q
arcsinx domain and range
A
(-1,1), (-pi/2,pi/2)
17
Q
cosx domain and range
A
(0, pi), (-1,1)
18
Q
arccos x domain and range
A
(-1,1), (0,pi)
19
Q
tanx domain and range
A
(-pi/2,pi/2), (-inf,inf)
20
Q
arctanx domain and range
A
(-inf,inf), (-pi/2,pi/2)
21
Q
lim (sinx/x)=
A
1
22
Q
lim (1-cosx/x)=
A
0
23
Q
sin(x+y)
A
sinxcosy + cosxsiny
24
Q
sin(x-y)
A
sinxcosy - cosxsiny
25
1,2,rt3
pi/3,pi/6,90
26
1, rt2, 1
pi/4,pi/4,90
27
cos(x+y)
cosxcosy - sinxsiny
28
cos(x-y)
cosxcosy + sinxsiny
29
tan(x+y)
(tanx+tany)/(1-tanxtany)
30
tan(x-y)
(tanx-tany)/(1+tanx+tany)
31
sin2x
2sinxcosx
32
cos2x
1-2sin^2
33
tan2x
(2tanx)/(1-tan^2x)
34
sin^2x
(1-cos2x)/2
35
cos^2x
(1+cos2x)/2
