Question 1

Find the derivative of the function

Accepted Answer

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

Question 2

Find the derivative of the following function using the limiting process.

Accepted Answer

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

Question 3

Find the derivative of the following function using the limiting process.

Accepted Answer

A) -4 
B)    
C)    
D)    
E)    
A) -4 
B)    
C)    
D)    
E)    E

Question 4

Find the derivative of the function   by the limit process.

Accepted Answer

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

Question 5

Find the derivative of the function.

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Find the derivative of the following function using the limiting process.

Accepted Answer

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

Question 8

Find the derivative of the function   using the limiting process.

Accepted Answer

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

Question 9

Find the derivative of the function.

Accepted Answer

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

Question 10

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 11

A projectile is shot upwards from the surface of the earth with an initial velocity of 108 meters per second.The position function is   What is its velocity after 7 seconds?

Accepted Answer

A) The velocity after 7 seconds is 181.7 meters per second. 
B) The velocity after 7 seconds is -142.3 meters per second. 
C) The velocity after 7 seconds is 39.4 meters per second. 
D) The velocity after 7 seconds is 73.7 meters per second. 
E) The velocity after 7 seconds is -176.6 meters per second. 
A) The velocity after 7 seconds is 181.7 meters per second. 
B) The velocity after 7 seconds is -142.3 meters per second. 
C) The velocity after 7 seconds is 39.4 meters per second. 
D) The velocity after 7 seconds is 73.7 meters per second. 
E) The velocity after 7 seconds is -176.6 meters per second.

Question 12

Use the alternative form of the derivative to find the derivative of the function

Accepted Answer

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

Question 13

Find the slope of the graph of the function

Accepted Answer

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

Question 14

Find an equation of the line that is tangent to the graph of the function   and parallel to the line

Accepted Answer

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

Question 15

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 16

Find the derivative of the function

Accepted Answer

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

Question 17

Find an equation of the line that is tangent to the graph of the function   and parallel to the line

Accepted Answer

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

Question 18

Identify the graph which has the following characteristics.

Accepted Answer

A) Graph 2 
B) Graph 3 
C) Graph 1 
D) Graph 4 
E) none of the above 
A) Graph 2 
B) Graph 3 
C) Graph 1 
D) Graph 4 
E) none of the above

Question 19

Find the derivative of the function

Accepted Answer

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

Question 20

Use the alternative form of the derivative to find the derivative of the function

Accepted Answer

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

Find the derivative of the function

Find the derivative of the following function using the limiting process.

Find the derivative of the following function using the limiting process.

Find the derivative of the function by the limit process.

Find the derivative of the function.

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

Find the derivative of the following function using the limiting process.

Find the derivative of the function using the limiting process.

Find the derivative of the function.

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

A projectile is shot upwards from the surface of the earth with an initial velocity of 108 meters per second.The position function is What is its velocity after 7 seconds?

Use the alternative form of the derivative to find the derivative of the function

Find the slope of the graph of the function

Find an equation of the line that is tangent to the graph of the function and parallel to the line

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

Find the derivative of the function

Find an equation of the line that is tangent to the graph of the function and parallel to the line

Identify the graph which has the following characteristics.

Find the derivative of the function

Use the alternative form of the derivative to find the derivative of the function

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

Find the derivative of the function

Find the derivative of the following function using the limiting process.

Find the derivative of the following function using the limiting process.

Find the derivative of the function by the limit process.

Find the derivative of the function.

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

Find the derivative of the following function using the limiting process.

Find the derivative of the function using the limiting process.

Find the derivative of the function.

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

A projectile is shot upwards from the surface of the earth with an initial velocity of 108 meters per second.The position function is What is its velocity after 7 seconds?

Use the alternative form of the derivative to find the derivative of the function

Find the slope of the graph of the function

Find an equation of the line that is tangent to the graph of the function and parallel to the line

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

Find the derivative of the function

Find an equation of the line that is tangent to the graph of the function and parallel to the line

Identify the graph which has the following characteristics.

Find the derivative of the function

Use the alternative form of the derivative to find the derivative of the function

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