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