Question 1

Differentiate   . Assume a is a positive constant.

Accepted Answer

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

Question 2

Find the first derivative of   .

Accepted Answer

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

Question 3

Given   , find   .

Accepted Answer

The answer of Given   , find  ...

Question 4

The first derivative of   is   .

Accepted Answer

A) True 
 B)False

Question 5

Find the equation of the line tangent to   at   , using exact values.

Accepted Answer

y= @#IMG-DLM& (t - 1

Question 6

The derivative of   is   .

Accepted Answer

A) True 
 B)False

Question 7

Find the first derivative of   .

Accepted Answer

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

Question 8

The first derivative of   is   .

Accepted Answer

A) True 
 B)False

Question 9

Find the first derivative of

Accepted Answer

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

Question 10

Consider the function   . Give the equation of the tangent line at x = 2. Round the coefficients to 2 decimal places.

Accepted Answer

The answer of Consider the function   . Give...

Question 11

A linear approximation of   valid for x near 3 is given by

Accepted Answer

A) True 
 B)False

Question 12

Find the equation of the tangent line to the curve   which passes through the origin.

Accepted Answer

The answer of Find the equation of the tangent line...

Question 13

The first derivative of   is   .

Accepted Answer

A) True 
 B)False

Question 14

Compute   for   .

Accepted Answer

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

Question 15

Find the derivative of   .

Accepted Answer

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

Question 16

The quantity, q, of tickets sold for a certain flight is a function of the selling price, p. Thus   . You are given the information that   and   . Revenue is given by   . When tickets are being sold at a price of $250, an increase of $1 in the sales price will cause revenue to go down by how much?

Accepted Answer

The answer of The quantity, q, of tickets sold for...

Question 17

Given   , find   .

Accepted Answer

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

Question 18

What is   ?

Accepted Answer

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

Question 19

Find the derivative of   .

Accepted Answer

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

Question 20

The first derivative of   is   .

Accepted Answer

A) True 
 B)False

Differentiate . Assume a is a positive constant.

Find the first derivative of .

Given , find .

The first derivative of is .

Find the equation of the line tangent to at , using exact values.

The derivative of is .

Find the first derivative of .

The first derivative of is .

Find the first derivative of

Consider the function . Give the equation of the tangent line at x = 2. Round the coefficients to 2 decimal places.

A linear approximation of valid for x near 3 is given by

Find the equation of the tangent line to the curve which passes through the origin.

The first derivative of is .

Compute for .

Find the derivative of .

The quantity, q, of tickets sold for a certain flight is a function of the selling price, p. Thus . You are given the information that and . Revenue is given by . When tickets are being sold at a price of $250, an increase of $1 in the sales price will cause revenue to go down by how much?

Given , find .

What is ?

Find the derivative of .

The first derivative of is .

Functions and Change

Rate of Change: the Derivative

Using the Derivative

Accumulated Change: the Definite Integral

Antiderivatives and Applications

Probability

Functions of Several Variables

Mathematical Modeling Using Differential Equations

Geometric Series

Filters

Exam 3: Shortcuts to Differentiation

Differentiate . Assume a is a positive constant.

Find the first derivative of .

Given , find .

The first derivative of is .

Find the equation of the line tangent to at , using exact values.

The derivative of is .

Find the first derivative of .

The first derivative of is .

Find the first derivative of

Consider the function . Give the equation of the tangent line at x = 2. Round the coefficients to 2 decimal places.

A linear approximation of valid for x near 3 is given by

Find the equation of the tangent line to the curve which passes through the origin.

The first derivative of is .

Compute for .

Find the derivative of .

The quantity, q, of tickets sold for a certain flight is a function of the selling price, p. Thus . You are given the information that and . Revenue is given by . When tickets are being sold at a price of $250, an increase of $1 in the sales price will cause revenue to go down by how much?

Given , find .

What is ?

Find the derivative of .

The first derivative of is .

Functions and Change

Rate of Change: the Derivative

Using the Derivative

Accumulated Change: the Definite Integral

Antiderivatives and Applications

Probability

Functions of Several Variables

Mathematical Modeling Using Differential Equations

Geometric Series

Filters