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Exam 3: Introduction to the Derivative

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Exam 1: Functions and Linear Models100 Questionsadd course
Exam 2: Nonlinear Functions and Models88 Questionsadd course
Exam 3: Introduction to the Derivative140 Questionsadd course
Exam 4: Techniques of Differentiation With Applications106 Questionsadd course
Exam 5: Further Applications of the Derivative85 Questionsadd course
Exam 6: The Integral71 Questionsadd course
Exam 7: Further Integration Techniques and Applications of the Integral117 Questionsadd course
Exam 8: Functions of Several Variables133 Questionsadd course
Exam 9: Trigonometric Models66 Questionsadd course
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Estimate Estimate of the function . Please enter your answer as a fraction. of the function Estimate of the function . Please enter your answer as a fraction. . Please enter your answer as a fraction.

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Question 101

Estimate Estimate of the function . of the function Estimate of the function . .

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Question 102

Estimate the limit numerically. Estimate the limit numerically.

(Multiple Choice)
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Question 103

Calculate the limit algebraically. Calculate the limit algebraically.

(Multiple Choice)
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Question 104

Calculate the average rate of change of the given function over the interval Calculate the average rate of change of the given function over the interval . . Calculate the average rate of change of the given function over the interval .

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Question 105

Calculate the limit algebraically. Calculate the limit algebraically.

(Multiple Choice)
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Question 106

The graph of a function The graph of a function is given. Determine whether is continuous on its domain. is given. Determine whether The graph of a function is given. Determine whether is continuous on its domain. is continuous on its domain. The graph of a function is given. Determine whether is continuous on its domain.

(Multiple Choice)
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Question 107

Find all points of discontinuity of the function. Find all points of discontinuity of the function.

(Multiple Choice)
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Question 108

Calculate the limit algebraically. Calculate the limit algebraically.

(Multiple Choice)
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Question 109

Compute the derivative function Compute the derivative function algebraically. algebraically. Compute the derivative function algebraically.

(Multiple Choice)
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Question 110

Compute Compute for . for Compute for . . Compute for .

(Multiple Choice)
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Question 111

The function given below gives the cost to manufacture x items. Estimate (using h = 0.0001)the instantaneous rate of change of the cost at the production level The function given below gives the cost to manufacture x items. Estimate (using h = 0.0001)the instantaneous rate of change of the cost at the production level . Select your answer rounded to the nearest tenth. . The function given below gives the cost to manufacture x items. Estimate (using h = 0.0001)the instantaneous rate of change of the cost at the production level . Select your answer rounded to the nearest tenth. Select your answer rounded to the nearest tenth.

(Multiple Choice)
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Question 112

Calculate the limit algebraically. Calculate the limit algebraically.

(Multiple Choice)
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Question 113

Calculate the average rate of change of the given function over the interval Calculate the average rate of change of the given function over the interval . . Calculate the average rate of change of the given function over the interval .

(Multiple Choice)
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Question 114

The graph of a function The graph of a function is given. Determine whether is continuous on its domain. is given. Determine whether The graph of a function is given. Determine whether is continuous on its domain. is continuous on its domain. The graph of a function is given. Determine whether is continuous on its domain.

(Multiple Choice)
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Question 115

Does this limit exist? Does this limit exist? Select the correct answer. Select the correct answer.

(Multiple Choice)
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Question 116

The graph of a function The graph of a function is given. Determine whether is continuous on its domain. is given. Determine whether The graph of a function is given. Determine whether is continuous on its domain. is continuous on its domain. The graph of a function is given. Determine whether is continuous on its domain.

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Question 117

Use a graph to determine whether the given function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity. Use a graph to determine whether the given function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity.

(Multiple Choice)
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Question 118

Draw the graph of a function that is continuous on its domain but not continuous at any integer.

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Question 119

Estimate Estimate of the function . of the function Estimate of the function . .

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Question 120
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