Calculus Test 2 Concepts Flashcards
Test Prep
1
Q
lim(as x approaches theta) sin(theta)/theta
A
1
2
Q
Pythagorean Identity
A
sin^2(theta)+cos^2(theta)=1
3
Q
Quadratic equations
A
ax^2+bx+c=0
4
Q
Quadratic Formula
A
(-b+-root(b^2-4ac))/2a
5
Q
e is the number such that
A
lim (as h approaches 0) (e^n-1)/n=1
6
Q
d/dx b^x
A
(lnb)b^x
7
Q
d/dx logbx
A
1/(xlnb), b>0, b!=0, x>0
8
Q
d/dx lnx
A
1/x
9
Q
d/dx ln g(x)
A
gā(x)/g(x)
10
Q
d/dx ln|x|
A
1/x if x!=0
11
Q
d/dx e^x
A
e^x
12
Q
d/dx logex
A
1/x
13
Q
speed is
A
|v|
14
Q
position is followed by
A
veocity
15
Q
speed vs velocity
A
velocity has direction
16
Q
acceleration has a
A
direct correlation of v and a
17
Q
decceleration has
A
a reverse correlation to v and a
18
Q
Perimeter
A
add all the sides
19
Q
Area
A
lw
20
Q
Area Of A Circle
A
pir^2
21
Q
Circumference
A
2pir
22
Q
Diameter
A
2r
23
Q
Pythagorean Thm
A
c=root(a^2+b^2); for triable sides
24
Q
Area Of Triangle
A
1/2bh
25
Volume Of Box
lwh
26
sinhx
(e^x-e^-x)/2
27
coshx
(e^x+e^-x)/2
28
tanhx
sinhx/coshx
29
cothx
coshx/sinhx
30
cothx (variant)
1/tanhx
31
sechx
1/coshx
32
cschx
1/sinhx
33
y=sinhx y-int, domain, type
(0,0), R, odd
34
y=coshx y-int, domain, type
(0,1), R, even
35
y=tanhx y-int, domain, type
(0,0), NA, odd
36
y=sechx y-int, domain, type
(0,1), NA, even
37
y=cschx y-int, domain, type
y-axis asympt, NA, odd
38
y=cothx y-int, domain, type
y-axis asympt, NA, odd
39
sinh(-x)
-sinhx
40
cosh(-x)
cosh(x)
41
cosh^2x-sinh^2x
1
42
1-tanh^2x
sech^2x
43
sinh(x+y)
sinhxcoshy+coshxsinhy
44
cosh(x+y)
coshxcoshy+sinhxsinhy
45
d/dx sinhx
coshx
46
d/dx coshx
sinhx
47
d/dx tanhx
sech^2x
48
d/dx cothx
-csch^2x
49
d/dx sechx
-secxtanhx
50
d/dx csch
-cschxcothx
