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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
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Questions
17
Answers
1
Given the graph of
f'(x), the derivative of f(x),
below, where is f(x) concave up?
nowhere
(-2, 0)
(-1, 0) ∪ (1, 2)
everywhere
2
Which statement about f(x) is true when x = -1?
f is neither continuous nor differentiable.
f is continuous but not differentiable
f is differentiable but not continuous
f is both continuous and differentiable.
3
Evaluate:
-3
0
4
3
4
Given f(x), find f'(π).
-2π + 4
-2π - 4
0
-1
5
Find f'(x).
2 cos x
-2x sin x2
2x sin x2
-sin x2
6
Find all vertical asymptotes of the function below.
x = 2 only
x = 2 and x = -5
x = -1 only
x = -5 only
7
Find f'(x).
sin x
csc x
-sin x
-cos x
8
What is the
x
-coordinate of the point of inflection of the equation below?
-3
3
9
-9
9
Find f'(x).
cos2 x - sin2 x
-sin x cos x
cos 2x
cos2 x + sin2 x
10
Find f'(x).
-sin 2x
2 cos x
-2 cos x sin x
2 sin x
11
Find f(x) given the information below.
f(x)=2x3-(3/2)x2-8
f(x) = 12x - 3
f(x)=2x3-(3/2)x2 + 2
f(x) = 12x - 22
12
Find
dy
/
dx
at the point (6, 6).
3/2
0
undefined
24
13
Find f
(6)
(x).
3840
1920
0
120
14
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 = -1 and x = 1
x = -4/3
15
Describe the graph of the function below:
Top half of a circle with center (1, 0) 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 9.
Top half of a circle with center (0, 1) and radius 3.
16
The velocity of a particle at time t, 0<t<6 is given by v(t). When does it change direction?
t = 3
t = 3π
t = 4
t = π/3
17
Evaluate:
-5/8
DNE
5/8
1
