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Ch 12 Test Review (Limits, Average Rate of Change, Definition of Derivative, Tangent Line) Flashcards | StudBud
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Ch 12 Test Review (Limits, Average Rate of Change, Definition of Derivative, Tangent Line)
Ch 12 Test Review (Limits, Average Rate of Change, Definition of Derivative, Tangent Line)
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Review questions for limit definition of derivative.
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Questions
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Answers
1
Determine the limit.
-4
2
-2
DNE
2
Find the instaneous velocity at any time for the function: s(t) = t
2
+ 7
2t + h
7 + h + t
2t
-t
3
Find the limit of the function.
0
Does Not Exist
1
3
4
Find limit as x approaches b of [2f(x)-g(x)]
1
-10
0
15
5
Find the slope of the line tangent to f(x) = -1/(x + 6) at x = -4
-3/4
1/4
-1/4
3/4
6
Find the indicated limit.
DNE
2
i
3
7
Find the average rate of change
48
4
16
12
8
What are the 3 ways for a limit to not exist?
all of the above
uncontrolled oscillation
LHL\neRHL
unbounded behavior
9
Find the indicated limit.
4/3
2/3
0
1/3
10
Determine the limit.
2
DNE
-2
-4
11
Find the indicated limit.
DNE
1
2
3
12
Find the equation of the tangent line to f(x) = 48/x at x = 2.
y = -12x
y = -12x + 24
y = -24x + 72
y = -12x + 48
13
Find the slope of the line tangent to f(x) = -10x
2
+ 8x at x = 9.
-172
-140
-243
-108
14
Find the indicated limit.
1/3
0
-1/3
DNE
15
Find the limit of the function.
0
1
5
Does Not Exist
16
Find the limit
DNE
6
2
17
Find average velocity for the time interval [1.9, 2]
1.2 m/s2
15.36 m/s2
12.41 m/s2
10 m/s2
18
Find the indicated limit.
DNE
0
2
8
19
Find the indicated limit.
1/6
1/9
9
DNE
20
Find the indicated limit.
-1/4
-1/16
1/16
1/4
21
Determine the limit.
DNE
2
-4
-2
22
Use the graph of
f(x)
to find the limit of
f(x)
as
x
approaches -2.
-1
2
-5
DNE
23
Find the derivative of f(x)=4x
2
- 2.
8x
8x - 2
4x
8x2 - 2
24
Find the indicated limit.
1
3
2
DNE
25
Find the limit of the function.
Does Not Exist
2
5
0
26
Find the indicated limit.
-10
DNE
0
10
27
Find the limit as x approaches -2
DNE
-3
-1
28
Find the indicated limit.
4
0.25
DNE
1
29
Use the graph of
f(x)
to find the limit of
f(x)
as
x
approaches 0.
-3
DNE
0
2
30
Find the equation of the tangent line to f(x) = x
2
- x at x = 2.
y = 3x - 4
y = 3x + 6
y = 3x + 4
y = 3x - 6
