Question 1

Determine all values of   (if any), at which the graph of the function has a horizontal tangent.

Accepted Answer

A)    
B)    
C)    
D)    
E) The graph has no horizontal tangents. 
A)    
B)    
C)    
D)    
E) The graph has no horizontal tangents.

Question 2

Find the slope of the graph of the function at the given value.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

Find the derivative of the function

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 4

Find an equation of the tangent line to the graph of the function   at the point

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Suppose the position function for a free-falling object on a certain planet is given by   A silver coin is dropped from the top of a building that is 1372 feet tall.Find the time required for the coin to reach ground level.Round your answer to the three decimal places.

Accepted Answer

A) 2.849 sec 
B) 10.273 sec 
C) 10.693 sec 
D) 3.087 sec 
E) 10.091 sec 
A) 2.849 sec 
B) 10.273 sec 
C) 10.693 sec 
D) 3.087 sec 
E) 10.091 sec

Question 6

Suppose the position function for a free-falling object on a certain planet is given by   A silver coin is dropped from the top of a building that is 1372 feet tall.Find the instantaneous velocity of the coin when

Accepted Answer

A) -96 ft/sec 
B) -32 ft/sec 
C) -20 ft/sec 
D) -144 ft/sec 
E) -48 ft/sec 
A) -96 ft/sec 
B) -32 ft/sec 
C) -20 ft/sec 
D) -144 ft/sec 
E) -48 ft/sec

Question 7

Find the derivative of the function

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

Find the derivative of the function   by the limit process.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Find the slope   of the line tangent to the graph of the function   point

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Determine all values of   (if any), at which the graph of the function has a horizontal tangent.

Accepted Answer

A)    
B)    
C)    
D)    
E) The graph has no horizontal tangents. 
A)    
B)    
C)    
D)    
E) The graph has no horizontal tangents.

Question 11

Suppose the position function for a free-falling object on a certain planet is given by   A silver coin is dropped from the top of a building that is 1372 feet tall. Determine the average velocity of the coin over the time interval

Accepted Answer

A) -113 ft/sec 
B) 80 ft/sec 
C) 112 ft/sec 
D) -112 ft/sec 
E) -80 ft/sec 
A) -113 ft/sec 
B) 80 ft/sec 
C) 112 ft/sec 
D) -112 ft/sec 
E) -80 ft/sec

Question 12

Find the slope of the graph of the function at the given value.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 13

Suppose the position function for a free-falling object on a certain planet is given by   A silver coin is dropped from the top of a building that is 1370 feet tall. Determine the velocity function for the coin.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Use the rules of differentiation to find the derivative of the function

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

Find the derivative of the function   by the limit process.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

Determine all values of   (if any), at which the graph of the function has a horizontal tangent.

Accepted Answer

A)    
B)    
C)    
D)    
E) The graph has no horizontal tangents. 
A)    
B)    
C)    
D)    
E) The graph has no horizontal tangents.

Question 17

The graph of the function   is given below.Select the graph of

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 18

Find the slope of the graph of the function at the given value.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

Find the slope of the graph of the function at the given value.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

A ball is thrown straight down from the top of a 300-ft building with an initial velocity of -12 ft per second.The position function is   What is the velocity of
The ball after 4 seconds?

Accepted Answer

A) The velocity after 4 seconds is -76 ft per second. 
B) The velocity after 4 seconds is -116 ft per second. 
C) The velocity after 4 seconds is -140 ft per second. 
D) The velocity after 4 seconds is -52 ft per second. 
E) The velocity after 4 seconds is -280 ft per second. 
A) The velocity after 4 seconds is -76 ft per second. 
B) The velocity after 4 seconds is -116 ft per second. 
C) The velocity after 4 seconds is -140 ft per second. 
D) The velocity after 4 seconds is -52 ft per second. 
E) The velocity after 4 seconds is -280 ft per second.

Determine all values of (if any), at which the graph of the function has a horizontal tangent.

Find the slope of the graph of the function at the given value.

Find the derivative of the function

Find an equation of the tangent line to the graph of the function at the point

Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1372 feet tall.Find the time required for the coin to reach ground level.Round your answer to the three decimal places.

Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1372 feet tall.Find the instantaneous velocity of the coin when

Find the derivative of the function

Find the derivative of the function by the limit process.

Find the slope of the line tangent to the graph of the function point

Determine all values of (if any), at which the graph of the function has a horizontal tangent.

Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1372 feet tall. Determine the average velocity of the coin over the time interval

Find the slope of the graph of the function at the given value.

Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1370 feet tall. Determine the velocity function for the coin.

Use the rules of differentiation to find the derivative of the function

Find the derivative of the function by the limit process.

Determine all values of (if any), at which the graph of the function has a horizontal tangent.

The graph of the function is given below.Select the graph of

Find the slope of the graph of the function at the given value.

Find the slope of the graph of the function at the given value.

A ball is thrown straight down from the top of a 300-ft building with an initial velocity of -12 ft per second.The position function is What is the velocity of The ball after 4 seconds?

Limits and Their Properties

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

Filters

Exam 2: Differentiation

Determine all values of (if any), at which the graph of the function has a horizontal tangent.

Find the slope of the graph of the function at the given value.

Find the derivative of the function

Find an equation of the tangent line to the graph of the function at the point

Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1372 feet tall.Find the time required for the coin to reach ground level.Round your answer to the three decimal places.

Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1372 feet tall.Find the instantaneous velocity of the coin when

Find the derivative of the function

Find the derivative of the function by the limit process.

Find the slope of the line tangent to the graph of the function point

Determine all values of (if any), at which the graph of the function has a horizontal tangent.

Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1372 feet tall. Determine the average velocity of the coin over the time interval

Find the slope of the graph of the function at the given value.

Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1370 feet tall. Determine the velocity function for the coin.

Use the rules of differentiation to find the derivative of the function

Find the derivative of the function by the limit process.

Determine all values of (if any), at which the graph of the function has a horizontal tangent.

The graph of the function is given below.Select the graph of

Find the slope of the graph of the function at the given value.

Find the slope of the graph of the function at the given value.

A ball is thrown straight down from the top of a 300-ft building with an initial velocity of -12 ft per second.The position function is What is the velocity of The ball after 4 seconds?

Limits and Their Properties

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

Filters