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Duplicate of Calculus Semester 1 Review Flashcards | StudBud
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Duplicate of Calculus Semester 1 Review
Duplicate of Calculus Semester 1 Review
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A review over limits, derivatives, and basic antiderivatives. #calculus
Flashcards
22 cards
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Questions
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Answers
1
lim x-> 1
DNE
4
-2
1
2
Which statement about f(x) is true when x = -1?
f is both continuous and differentiable.
f is continuous but not differentiable
f is neither continuous nor differentiable.
f is differentiable but not continuous
3
Find f'(x).
2 cos x
-sin 2x
-2 cos x sin x
2 sin x
4
Find f'(x).
-sin x2
2x sin x2
2 cos x
-2x sin x2
5
What is the
x
-coordinate of the point of inflection of the equation below?
-9
9
3
-3
6
Given f(x), find f'(π).
-2π - 4
-2π + 4
-1
0
7
Given the graph of
f'(x), the derivative of f(x),
below, where does f(x) have a relative min.?
x = -4/3
x = 0
x = 4/3
x = -1 and x = 1
8
If f'(x)=3(x-4)(x+6). Find where f(x) has a maximum.
x=4
x=-6
x=4, x=-6
x=-4
9
Find f'(x).
-sin x
-cos x
csc x
sin x
10
Find f
''
(6).
371293
28610
28561
0
11
Which of the following is true?
lim x->1+= lim x->1-
lim x->6+= lim x->6-
lim x->6 = f(6)
lim x-> -4 DNE
12
Evaluate:
DNE
-5/8
1
5/8
13
Find
dy
/
dx
at the point (6, 6).
24
undefined
3/2
0
14
Describe the graph of the function below:
Top half of a circle with center (0, 1) and radius 9.
Top half of a circle with center (1, 0) and radius 3.
Top half of a circle with center (0, 1) and radius 3.
Top half of a circle with center (1, 0) and radius 9.
15
Find f'(x).
cos 2x
-sin x cos x
cos2 x + sin2 x
cos2 x - sin2 x
16
lim x-> 6
DNE
2
5
6
17
The velocity of a particle at time t, 0<t<6 is given by v(t). When does it change direction?
t = π/3
t = 4
t = 3
t = 3π
18
The derivative of the integral is the...
anti derivative
acceleration
derivative
original
19
Given the graph of
f'(x), the derivative of f(x),
below, where is f(x) concave up?
(-1, 0) ∪ (1, 2)
everywhere
(-2, 0)
nowhere
20
Evaluate:
0
3
-3
4
21
Find f(x) given the information below.
f(x) = 12x - 3
f(x)=2x3-(3/2)x2-8
f(x)=2x3-(3/2)x2 + 2
f(x) = 12x - 22
22
Find all vertical asymptotes of the function below.
x = 2 and x = -5
x = 2 only
x = -1 only
x = -5 only
