Test 1 Flashcards
1
Q
Derive using (c+^x)
A
F(c+^x)-F(c)
^x
2
Q
(a^3-b^3)
A
(a-b)(a^2+ab+b^2)
3
Q
a^3+b^3
A
(a+b)(a^2-ab+b^2)
4
Q
square root rule
A
use the number of the square root and x by the top and bottom flip the value of the non x
5
Q
what do you keep going
A
limits
6
Q
lim sin1/x
x->0
A
DNE
7
Q
lim sin1/x
x->infinite
A
0
8
Q
lim sin1/x
x->4
A
4
9
Q
lim sin1 x/x
x->0
lim tan x/x
x->0
A
1
10
Q
Memorize
A
F(c) is defined
The limit of f(x) does not exist at x=c
The limit of f(x) does exist at x=c, but it is not equal to f(c)
11
Q
if f is differential at x=c then f is?
A
continious
12
Q
square root x =?
A
x^1/2
13
Q
1/x=
A
x^-1
14
Q
d/dx sinx
d/dx cosx
A
cosx
-sinx
15
Q
Quotient Rule
A
Use when
F(x)
G(x)
F^(x)g(x)-G^(x)F(x)
g(x)^2
16
Q
Product Rule
A
use when
F(x)G(x)
F^(x)G(x)+G^(x)F(x)
17
Q
csc
secx
tanx
cotx
A
cscxtanx
secxtanx
sec^2x
csc^2x
18
Q
Chain Rule
A
use when
F(G(x)= F^(G(x))(x^)
