Question 1

Find the indicated derivative and simplify. ​   for   ​

Accepted Answer

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

Question 2

Suppose that the cost function for a commodity is   dollars. Calculate   to find the actual cost of producing the 4th unit. Round your answer to two decimal places. ​

Accepted Answer

A)  $8.78 
B)  $8.00 
C)  $8.39 
D)  $8.33 
E)  $8.06 
A)  $8.78 
B)  $8.00 
C)  $8.39 
D)  $8.33 
E)  $8.06

Question 3

Graph the marginal profit function for the profit function   where P(x) is in dollars and x is the number of units. What level of production and sales will give a zero marginal profit? ​

Accepted Answer

A)  0 
B)  161 
C)  90 
D)  19 
E)  180 
A)  0 
B)  161 
C)  90 
D)  19 
E)  180

Question 4

Find   if   . ​

Accepted Answer

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

Question 5

The graph of a company's total cost function is shown. Does this total cost function represent a manufacturing process that is getting more efficient or less efficient as the production level increases? ​   ​

Accepted Answer

A)  less efficient 
B)  more efficient 
A)  less efficient 
B)  more efficient

Question 6

Graph the marginal profit function for the profit function   where P(x) is in dollars and x is the number of units. What is the maximum profit? Round your answer to two decimal places. ​

Accepted Answer

A)  $0.00 
B)  $12.50 
C)  $30.00 
D)  $10.00 
E)  $20.00 
A)  $0.00 
B)  $12.50 
C)  $30.00 
D)  $10.00 
E)  $20.00

Question 7

Find the slope of the tangent to the graph of f (x) at any point. ​   ​

Accepted Answer

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

Question 8

Use the given table to approximate   as accurately as you can. ​

Accepted Answer

A)  5.596 
B)  -5.596 
C)  55.960 
D)  -55.960 
E)  195.440 
A)  5.596 
B)  -5.596 
C)  55.960 
D)  -55.960 
E)  195.440

Question 9

If the instantaneous rate of change of g(x) at   is   , write the equation of the line tangent to the graph of g(x) at   ​

Accepted Answer

A)  x = -   y +   
B)  x =   y +   
C)  x =   y -   
D)  y =   x -   
E)  y =   x +   
A)  x = -   y +   
B)  x =   y +   
C)  x =   y -   
D)  y =   x -   
E)  y =   x +

Find the indicated derivative and simplify. for

Suppose that the cost function for a commodity is dollars. Calculate to find the actual cost of producing the 4th unit. Round your answer to two decimal places.

Graph the marginal profit function for the profit function where P(x) is in dollars and x is the number of units. What level of production and sales will give a zero marginal profit?

Find if .

The graph of a company's total cost function is shown. Does this total cost function represent a manufacturing process that is getting more efficient or less efficient as the production level increases?

Graph the marginal profit function for the profit function where P(x) is in dollars and x is the number of units. What is the maximum profit? Round your answer to two decimal places.

Find the slope of the tangent to the graph of f (x) at any point.

Use the given table to approximate as accurately as you can.

If the instantaneous rate of change of g(x) at is , write the equation of the line tangent to the graph of g(x) at

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

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Exam 9: Derivatives

Find the indicated derivative and simplify. ​ for ​

Suppose that the cost function for a commodity is dollars. Calculate to find the actual cost of producing the 4th unit. Round your answer to two decimal places. ​

Graph the marginal profit function for the profit function where P(x) is in dollars and x is the number of units. What level of production and sales will give a zero marginal profit? ​

Find if . ​

The graph of a company's total cost function is shown. Does this total cost function represent a manufacturing process that is getting more efficient or less efficient as the production level increases? ​ ​

Graph the marginal profit function for the profit function where P(x) is in dollars and x is the number of units. What is the maximum profit? Round your answer to two decimal places. ​

Find the slope of the tangent to the graph of f (x) at any point. ​ ​

Use the given table to approximate as accurately as you can. ​

If the instantaneous rate of change of g(x) at is , write the equation of the line tangent to the graph of g(x) at ​

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

Filters

Find the indicated derivative and simplify. for

Suppose that the cost function for a commodity is dollars. Calculate to find the actual cost of producing the 4th unit. Round your answer to two decimal places.

Graph the marginal profit function for the profit function where P(x) is in dollars and x is the number of units. What level of production and sales will give a zero marginal profit?

Find if .

The graph of a company's total cost function is shown. Does this total cost function represent a manufacturing process that is getting more efficient or less efficient as the production level increases?

Graph the marginal profit function for the profit function where P(x) is in dollars and x is the number of units. What is the maximum profit? Round your answer to two decimal places.

Find the slope of the tangent to the graph of f (x) at any point.

Use the given table to approximate as accurately as you can.

If the instantaneous rate of change of g(x) at is , write the equation of the line tangent to the graph of g(x) at