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Mid year Review
Mid year Review
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A review over limits, derivatives, and basic antiderivatives. #calculus
Flashcards
17 cards
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Practice quiz
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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
Given f(x), find f'(π).
-1
0
-2π + 4
-2π - 4
3
Find all vertical asymptotes of the function below.
x = -5 only
x = 2 only
x = -1 only
x = 2 and x = -5
4
Find f'(x).
cos 2x
cos2 x - sin2 x
-sin x cos x
cos2 x + sin2 x
5
Find f'(x).
-2 cos x sin x
2 cos x
-sin 2x
2 sin x
6
Find f'(x).
-sin x
csc x
-cos x
sin x
7
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 (0, 1) and radius 3.
Top half of a circle with center (0, 1) and radius 9.
Top half of a circle with center (1, 0) and radius 3.
8
Evaluate:
-3
3
4
0
9
Find f'(x).
-sin x2
2 cos x
-2x sin x2
2x sin x2
10
Find
dy
/
dx
at the point (6, 6).
3/2
0
24
undefined
11
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.
12
What is the
x
-coordinate of the point of inflection of the equation below?
9
3
-3
-9
13
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 = 3
t = 4
t = 3π
14
Find f(x) given the information below.
f(x) = 12x - 22
f(x) = 12x - 3
f(x)=2x3-(3/2)x2-8
f(x)=2x3-(3/2)x2 + 2
15
Evaluate:
DNE
5/8
1
-5/8
16
Given the graph of
f'(x), the derivative of f(x),
below, where does f(x) have a relative min.?
x = -4/3
x = -1 and x = 1
x = 4/3
x = 0
17
Find f
(6)
(x).
3840
0
1920
120
