Question 1

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 2

The volume of a cube with sides of length s is given by   .Find the rate of change of volume with respect to   centimeters.

Accepted Answer

A) 648   
B) 216   
C) 36   
D) 108   
E) 72   
A) 648   
B) 216   
C) 36   
D) 108   
E) 72

Question 3

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

Accepted Answer

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

Question 4

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.Find velocity of the coin at impact.Round your answer to the three decimal places.

Accepted Answer

A) -286.705 ft/sec 
B) -138.492 ft/sec 
C) -111.041 ft/sec 
D) -276.984 ft/sec 
E) -261.984 ft/sec 
A) -286.705 ft/sec 
B) -138.492 ft/sec 
C) -111.041 ft/sec 
D) -276.984 ft/sec 
E) -261.984 ft/sec

Question 5

Describe the x-values at which the graph of the function   given below is differentiable.

Accepted Answer

A)    differentiable at   
B)    is differentiable everywhere except at   
C)    is differentiable everywhere except at   
D)    is differentiable on the interval   
E)    is differentiable on the interval   
A)    differentiable at   
B)    is differentiable everywhere except at   
C)    is differentiable everywhere except at   
D)    is differentiable on the interval   
E)    is differentiable on the interval

Question 6

Find the slope of the graph of the function

Accepted Answer

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

Question 7

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

Accepted Answer

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

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

The volume of a cube with sides of length s is given by .Find the rate of change of volume with respect to centimeters.

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

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.Find velocity of the coin at impact.Round your answer to the three decimal places.

Describe the x-values at which the graph of the function given below is differentiable.

Find the slope of the graph of the function

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

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

The volume of a cube with sides of length s is given by .Find the rate of change of volume with respect to centimeters.

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

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.Find velocity of the coin at impact.Round your answer to the three decimal places.

Describe the x-values at which the graph of the function given below is differentiable.

Find the slope of the graph of the function

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

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