Question 1

Find the derivative f '(x).

Accepted Answer

The answer of Find the derivative f '(x).
 ...

Question 2

Find the derivative of f '(x).

Accepted Answer

The answer of Find the derivative of f '(x).
 ...

Question 3

Find the derivative of f '(x).

Accepted Answer

The answer of Find the derivative of f '(x).
 ...

Question 4

Find the derivative of f '(x).

Accepted Answer

The answer of Find the derivative of f '(x).
 ...

Question 5

Find the derivative of the f '(x).

Accepted Answer

The answer of Find the derivative of the f '(x).
...

Question 6

A person holds a pistol straight upward and fires. The initial velocity of most bullets is around 1,490 feet per second. The height of the bullet t seconds after it is fired is a function described by
  
a. What is the average of the bullet between 37 and 89 seconds after it is fired?
b. What is the instantaneous velocity of the bullet when t = 91 seconds (shortly before its hits the ground)?

Accepted Answer

The answer of A person holds a pistol straight upward...

Question 7

The gas mileage (miles per gallon, mpg) for a typical sedan can be approximated by the quadratic function 
  
, where x represents the speed of the car in miles per hour (mph) and f represents the gas mileage in mpg. Find the instantaneous rate of change of the gas mileage of this sedan when the speed is 68 mph.

Accepted Answer

The answer of The gas mileage (miles per gallon, mpg)...

Question 8

If the profit function P(x) in dollars corresponding to producing x units is given by 
  
. Find the instantaneous rate of change of the profit when x = 113 units. Is the profit increasing or decreasing at 113 units? What is the meaning of P '(x) and what are its units?

Accepted Answer

The answer of If the profit function P(x) in dollars...

Question 9

Find the slope of the tangent line to the graph of f at the given point.  at the point
 
A) 7
B) -12
C) 8
D) 1

Accepted Answer

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

Question 10

Find the slope of the tangent line to the graph of f at the given point.  at the point
 
A) 
B) 
C) 
D)

Accepted Answer

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

Question 11

Find the slope of the tangent line to the graph of f at the given point.  at the point
 
A) 
B) 
C) 
D)

Accepted Answer

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

Question 12

Find the equation of the tangent line to the graph of f at the given point.  at the point
 
A) 
B) 
C) 
D)

Accepted Answer

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

Question 13

Find the derivative of the function at the specified value of x. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the derivative of the function at...

Question 14

Find the derivative of the function at the specified value of x. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the derivative of the function at...

Question 15

Find the derivative of f '(x). 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the derivative of f '(x). 
A)...

Question 16

Find the derivative of f '(x). 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the derivative of f '(x). 
A)...

Question 17

Find the derivative of f '(x). 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the derivative of f '(x). 
A)...

Question 18

Find the derivative of the f '(x). 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the derivative of the f '(x)....

Question 19

Given the graphs of the functions f and g, find the limit, if it exists.

Accepted Answer

The answer of Given the graphs of the functions f...

Question 20

Given the graphs of the functions f and g, find the limit, if it exists.

Accepted Answer

The answer of Given the graphs of the functions f...

Quiz 11: Limits: A Preview to Calculus

Find the derivative f '(x).

Find the derivative of f '(x).

Find the derivative of f '(x).

Find the derivative of f '(x).

Find the derivative of the f '(x).

If the profit function P(x) in dollars corresponding to producing x units is given by . Find the instantaneous rate of change of the profit when x = 113 units. Is the profit increasing or decreasing at 113 units? What is the meaning of P '(x) and what are its units?

Find the slope of the tangent line to the graph of f at the given point. at the point

Find the slope of the tangent line to the graph of f at the given point. at the point

Find the slope of the tangent line to the graph of f at the given point. at the point

Find the equation of the tangent line to the graph of f at the given point. at the point

Find the derivative of the function at the specified value of x.

Find the derivative of the function at the specified value of x.

Find the derivative of f '(x) .

Find the derivative of f '(x) .

Find the derivative of f '(x) .

Find the derivative of the f '(x) .

Given the graphs of the functions f and g, find the limit, if it exists.

Given the graphs of the functions f and g, find the limit, if it exists.