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AP Calculus AB- Limits and Derivatives Review Flashcards | StudBud
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AP Calculus AB- Limits and Derivatives Review
AP Calculus AB- Limits and Derivatives Review
20 terms
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#limits #derivatives #APCalc
Flashcards
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Questions
20
Answers
1
Derivative of -sin(2x)?
2cos(2x)
sin(2x)
2cosx
-2cos(2x)
2
The position of the particle is s(t) = t
2
+ 4t + 4, what is the acceleration at t = 4?
7
0
15
2
3
If I know the limit of f(x) at 2 equals 3, what do a I know?
f(2) = 3.
f(2) exists
The left-hand limit equals the right-hand limit
f(2) is differentiable.
4
What is the limit of the following
5/4
1
0
-1/4
5
What is f'(x) if f(x) = e
1/x
?
A
C
B
D
6
What is this derivative of....
A
B
C
D
7
What is dy/dx of...
2x + y - 2
-2
4x + 2y - 2
2x + y
8
How do you find vertical asymptotes?
Cancel all factors, Set denominator = to 0.
Take the limit at infinity
Set function equal to zero.
Intermediate Value Theorem
9
If y = sec(3x+2), what is
dy/dx?
3tan2(3x+2)
sec(3x+2)tan(3x+2)
3sec2(3x+2)
3sec(3x+2)tan(3x+2)
10
ƒ(3) = 15, ƒ(6) = 3, ƒ'(3) = -8 and ƒ'(6) = 2. If g(x) = ƒ
-1
(x) then what is g'(3)?
1/2
1/6
1/3
-1/8
11
How do you find an average rate of change on an interval [a,b]?
Set the derivative equal to 0, solve for x.
Find the slope over the interval [a, b]
Find the derivative at that point
Set y equal to a, x equal to b.
12
What value of k will make f(x) continous?
1
5
-2
3
13
What is the limit of...
Does not exist
1/2
√3/2
0
14
Where is a function increasing?
Derivative is negative
Where the sea meets the sky.
Integrals are cool.
Derivative is positive
15
What is the limit of...
sec2(3x)
3sec2(3x)
3xsec2(3x)
Nonexistent.
16
If f(x)= cos(x), what is f'(π/6)?
-√3 / 2
√3 / 2
√2 / 2
-1/2
17
What is the instantaneous rate of change of f at x = 3?
-15 / 4
6
17
-1
18
f(x) = 7x - 3 + ln(x), f'(1) = ?
6
9
73
8
19
What's the fourth derivative of f at x = 0
48
0
24
384
20
If f(x) = e
2x
(x
3
+ 1), then f'(2) =
45e4 + 7
120e4
30e4
6e4
