Question 1

Given   
(a)Find the intervals on which f is increasing or decreasing. 
(b)Find the relative maxima and relative minima of

Accepted Answer

A)  (a) Increasing on   and   , decreasing on  
(b) Rel. max.   ,
Rel) min.   
B)  (a) Increasing on   and   , decreasing on   and  
(b) Rel. max.   ,
Rel) min.   
C)  (a) Increasing on   , decreasing on   and  
(b) Rel. max.   ,
Rel. min.   
D)  (a) Increasing on   and   decreasing on   and  
(b) Rel. max.   ,
Rel. min.   
A)  (a) Increasing on   and   , decreasing on  
(b) Rel. max.   ,
Rel) min.   
B)  (a) Increasing on   and   , decreasing on   and  
(b) Rel. max.   ,
Rel) min.   
C)  (a) Increasing on   , decreasing on   and  
(b) Rel. max.   ,
Rel. min.   
D)  (a) Increasing on   and   decreasing on   and  
(b) Rel. max.   ,
Rel. min.   B

Question 2

The graph of the derivative   of a continuous function f is shown.On what intervals is f decreasing?

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these D

Question 3

Find the maximum or minimum point(s)of the function.

Accepted Answer

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

Question 4

Given   (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of

Accepted Answer

A)  (a) Increasing on   ,
Decreasing on  
(b) Rel. max.   
B)  (a) Increasing on  
(b) None 
C)  (a) Decreasing on  
(b) None 
D)  (a) Increasing on   ,
Decreasing on  
(b) Rel. min.   
A)  (a) Increasing on   ,
Decreasing on  
(b) Rel. max.   
B)  (a) Increasing on  
(b) None 
C)  (a) Decreasing on  
(b) None 
D)  (a) Increasing on   ,
Decreasing on  
(b) Rel. min.

Question 5

Use the Second Derivative Test to find the relative extrema,if any,of the function

Accepted Answer

A)  Rel. max.   ,
Rel. min.   
B)  Rel. max.   ,
Rel. min.   
C)  Rel. max.   ,
Rel. min.   
D)  Rel. max.   ,
Rel. min.   
A)  Rel. max.   ,
Rel. min.   
B)  Rel. max.   ,
Rel. min.   
C)  Rel. max.   ,
Rel. min.   
D)  Rel. max.   ,
Rel. min.

Question 6

Determine where the graph of   is concave upward and where it is concave downward.Also,find all inflection points of the function.

Accepted Answer

concave upward: @#IMG-DLM& and

Question 7

Given   (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of

Accepted Answer

A)  (a) Increasing on   and   decreasing on  
(b) Rel. max.   ,
Rel) min.   
B)  (a) Increasing on   , decreasing on   and  
(b) Rel. max.   ,
Rel) min.   
C)  (a) Increasing on   and   decreasing on  
(b) Rel. max.   ,
Rel) min.   
D)  (a) Increasing on   , decreasing on   and  
(b) Rel. max.   ,
Rel. min.   
A)  (a) Increasing on   and   decreasing on  
(b) Rel. max.   ,
Rel) min.   
B)  (a) Increasing on   , decreasing on   and  
(b) Rel. max.   ,
Rel) min.   
C)  (a) Increasing on   and   decreasing on  
(b) Rel. max.   ,
Rel) min.   
D)  (a) Increasing on   , decreasing on   and  
(b) Rel. max.   ,
Rel. min.

Question 8

Find a cubic function   that has a local maximum value of   at 1 and a local minimum value of -1,184 at 7.

Accepted Answer

The answer of Find a cubic function   that...

Question 9

The graph of the first derivative   of a function f is shown below.At what values of x does f have a local maximum or minimum?

Accepted Answer

The answer of The graph of the first derivative ...

Question 10

Determine where the graph of   is concave upward and where it is concave downward.Also,find all inflection points of the function.

Accepted Answer

A)  concave downward:   and   , concave upward:   and   ; inflection points:   and   
B)  concave downward:   and   , concave upward:   and   ; inflection points:   and   
C)  concave downward: nowhere, concave upward:   and   ; inflection points: none 
D)  concave downward:   and   , concave upward: nowhere; inflection points: none 
A)  concave downward:   and   , concave upward:   and   ; inflection points:   and   
B)  concave downward:   and   , concave upward:   and   ; inflection points:   and   
C)  concave downward: nowhere, concave upward:   and   ; inflection points: none 
D)  concave downward:   and   , concave upward: nowhere; inflection points: none

Question 11

Determine where the graph of the function   is concave upward and where it is concave downward.Also,find all inflection points of the function.

Accepted Answer

A)  CU on   , CD on   ,
IP   
B)  CU on   , CD on   ,
IP   
C)  CU on   , CD on   ,
IP   
D)  CU on   , CD on   ,
IP   
A)  CU on   , CD on   ,
IP   
B)  CU on   , CD on   ,
IP   
C)  CU on   , CD on   ,
IP   
D)  CU on   , CD on   ,
IP

Question 12

Given   (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of

Accepted Answer

A)  (a) Increasing on   ,
Decreasing on  
(b) Rel. max.   
B)  (a) Increasing on   ,
Decreasing on  
(b) Rel. min.   
C)  (a) Increasing on   ,
Decreasing on  
(b) Rel. max.   
D)  (a) Increasing on   ,
Decreasing on  
(b) Rel. min.   
A)  (a) Increasing on   ,
Decreasing on  
(b) Rel. max.   
B)  (a) Increasing on   ,
Decreasing on  
(b) Rel. min.   
C)  (a) Increasing on   ,
Decreasing on  
(b) Rel. max.   
D)  (a) Increasing on   ,
Decreasing on  
(b) Rel. min.

Question 13

Consider the function   
(a)Find the intervals on which f is increasing or decreasing.
(b)Find the relative maxima and relative minima of F)

Accepted Answer

(a)decreasing on @#IMG-DLM& an

Question 14

Estimate the extreme values of the function.Round the answers to the nearest hundredth.

Accepted Answer

The answer of Estimate the extreme values of the function.Round...

Question 15

Determine where the graph of the function   is concave upward and where it is concave downward.Also,find all inflection points of the function.

Accepted Answer

A)  CU on   , CD on   ,
IP   
B)  CU on   , CD on   and  
IP   and   
C)  CU on   , CD on   ,
IP   
D)  CU on   , CD on   ,
IP   
A)  CU on   , CD on   ,
IP   
B)  CU on   , CD on   and  
IP   and   
C)  CU on   , CD on   ,
IP   
D)  CU on   , CD on   ,
IP

Exam 4: Extension C: Applications of Differentiation

Given (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of

The graph of the derivative of a continuous function f is shown.On what intervals is f decreasing?

Find the maximum or minimum point(s)of the function.

Given (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of

Use the Second Derivative Test to find the relative extrema,if any,of the function

Determine where the graph of is concave upward and where it is concave downward.Also,find all inflection points of the function.

Given (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of

Find a cubic function that has a local maximum value of at 1 and a local minimum value of -1,184 at 7.

The graph of the first derivative of a function f is shown below.At what values of x does f have a local maximum or minimum?

Determine where the graph of is concave upward and where it is concave downward.Also,find all inflection points of the function.

Determine where the graph of the function is concave upward and where it is concave downward.Also,find all inflection points of the function.

Given (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of

Consider the function (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of F)

Estimate the extreme values of the function.Round the answers to the nearest hundredth.

Determine where the graph of the function is concave upward and where it is concave downward.Also,find all inflection points of the function.

Extension A: Functions and Models

Extension B: Functions and Models

Extension C: Functions and Models

Extension D: Functions and Models

Extension E: Functions and Models

Extension F: Functions and Models

Extension A: Limits and Derivatives

Extension B: Limits and Derivatives

Extension C: Limits and Derivatives

Extension D: Limits and Derivatives

Extension E : Limits and Derivatives

Extension F: Limits and Derivatives

Extension G: Limits and Derivatives

Extension H: Limits and Derivatives

Extension A: Differentiation Rules

Extension B: Differentiation Rules

Extension C: Differentiation Rules

Extension D: Differentiation Rules

Extension E: Differentiation Rules

Extension F: Differentiation Rules

Extension G: Differentiation Rules

Extension A: Applications of Differentiation

Extension B: Applications of Differentiation

Extension D: Applications of Differentiation

Extension E: Applications of Differentiation

Extension F: Applications of Differentiation

Extension G: Applications of Differentiation

Extension A: Integrals

Extension B: Integrals

Extension C: Integrals

Extension D: Integrals

Extension E: Integrals

Extension A: Applications of Integration

Extension B: Applications of Integration

Extension C: Applications of Integration

Extension D: Applications of Integration

Extension E: Applications of Integration

Extension F: Applications of Integration

Extension A: Differential Equations

Extension B: Differential Equations

Extension C: Differential Equations

Extension D: Differential Equations

Extension E: Differential Equations

Extension F: Differential Equations

Extension G: Differential Equations

Extension A: Infinte Sequences and Series

Extension B: Infinte Sequences and Series

Extension C: Infinte Sequences and Series

Extension D: Infinte Sequences and Series

Extension E: Infinte Sequences and Series

Extension F: Infinte Sequences and Series

Extension G: Infinte Sequences and Series

Extension H: Infinte Sequences and Series

Extension A: Vectors and the Geometry of Space

Extension B: Vectors and the Geometry of Space

Extension C: Vectors and the Geometry of Space

Extension D: Vectors and the Geometry of Space

Extension E: Vectors and the Geometry of Space

Extension A: Vector Functions

Extension B: Vector Functions

Extension C: Vector Functions

Extension D: Vector Functions

Extension E: Vector Functions

Extension F: Vector Functions