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AP Calculus Review
AP Calculus Review
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Calculus, Limits, and Derivatives
Flashcards
25 cards
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Practice quiz
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Questions
25
Answers
1
Evaluate the limit.
∞
1
π
0
2
If y=3x
50
, then d
50
y/dx
50
= ?
150!
0
150x49
3(50!)
3
This is the definition of...
Intermediate Value Theorem
Limit
Continuity
Differentiability
4
What does this equal?
sec2x
cot2x
csc2x
tan2x
5
Which of the following is NOT a way for a function to NOT be differentiable?
Sharp Corner
Cusp
Horizontal Tangent
Vertical Tangent
6
What does this equal?
sec x
csc x
cot x
tan x
7
What is this?
Chain Rule
Product Rule
Power Rule
Quotient Rule
8
This is the derivative of...
arctan x
arccot x
arcsec x
arccsc x
9
What is this?
Product Rule
Power Rule
Quotient Rule
Chain Rule
10
If f is differentiable, then f is...
Negative
Continuous
Positive
Limitable
11
What does this equal?
logb(x/y)
(xy)b
logb(xy)
(x/y)b
12
∫tanu du = ?
sec2u +C
ln∣ secu ∣ +C
1/ cosu +C
ln∣ cosu ∣ + C
13
If y=3/(4+x
2
), then dy/dx = ?
3x/(4+x2)2
-3/(4+x2)2
6x/(4+x2)2
-6x/(4+x2)2
14
This is an example of what type of equation?
Binomial
Implicit
Explicit
Quadratic
15
Find the derivative.
cot x
sec2x
- sec2x
sec x
16
Evaluate
9/2
13/2
11/2
7/2
17
Given that j, k, and m are constants, and that f(x)= m - 2kx, find
f '(j)
.
m-2jk
m
-2jk
-2k
18
Find the number guaranteed by Rolle's The
orem for the function
2
√2
1
3
19
Find the derivative.
6x
(log 6) 6x
x (ln 6) 6x
6x ln6
20
Find the limit.
15
12
The limit does not exist
3
21
Find the derivative.
- cos x
sin x
cos x
- sin x
22
In the graph shown, lim
x→a
f(x) does not exist for which of the following values of a?
a=1,3 only
a=2,3,4 only
a=1,2,4 only
a=1,2,3,4 only
23
Who is credited for this notation?
Galileo
Newton
Einstein
Leibniz
24
Evaluate the limit.
∞
1
0
π
25
Find the derivative.
f(g(x)) g'(x)
f'(g'(x)) g'(x)
f'(g(x)) g'(x)
f'(x) g'(x)
