AP Exam Review Things to Memorize Flashcards
1
Q
Setup for Squeeze Theorem
A
2
Q
Conclusion for Squeeze Theorem
A
lim x→c k(x) = L
3
Q
Setup for Intermediate Value Theorem
A
- f(x) is continuous
- y is between f(a) and f(b)
4
Q
Conclusion for Intermediate Value Theorem
A
There exists some c in (a, b) with f(c) = y
5
Q
Setup for Mean Value Theorem
A
- f(x) is continuous and differentiable
6
Q
Conclusion for Mean Value Theorem
A
- There exists some c in (a, b) with
7
Q
Definition of Continuity
A
- f(c) is defined
- lim x→c f(x) exists
**3. lim x→c f(x) = f(c)
8
Q
Setup for L’Hopital’s Rule
A
lim x→c f(x) = 0 (or ∞) and lim x→c g(x) = 0 (or ∞)
9
Q
Conclusion for L’Hopital’s Rule
A
10
Q
Is a continuous function differentiable or is a differentiable function continuous?
A
A differentiable function is continuous.
11
Q
ln 0
A
undefined
12
Q
ln 1
A
0
13
Q
ln e
A
1
14
Q
d/dx f(x)g(x)
A
f’(x)g(x) + g’(x)f(x)
15
Q
d/dx f(x)/g(x)
A
16
Q
d/dx arcsin u
A
17
Q
d/dx arctan u
A
18
Q
d/dx arcsec u
A
19
Q
How are sin x and cos x related in a Pythagorean identity?
A
20
Q
A
1
21
Q
A
0
22
Q
A
23
Q
A
24
Q
A
