# Test Prep Plan - Take a practice test

# Differentiability in Integral Calculus Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. Why would a car traveling in a circle not have a constant velocity?

####
Question 2
2.
Which best describes the **Law of Inertia**?

#### Question 3 3. Which of the following below is a velocity?

#### Question 4 4. Where is f(x) differentiable?

#### Question 5 5. Where is y differentiable?

### Page 2

#### Question 6 6. Where is f(x) differentiable?

#### Question 7 7. Which is the symbol for the first derivative?

#### Question 8 8. Which of these first derivatives shows a decreasing function?

#### Question 9 9. Which of the following is true about this graph?

#### Question 10 10. Which of the following statements is true?

### Page 3

#### Question 11 11. Which of the following statements is true?

#### Question 12 12. The graph of a function is shown. Which of the following statements is true about the function?

#### Question 13 13. Where t= time, what is the derivative of f(t)?

####
Question 14
14.
Which of the following best describe(s) the derivative of a function?

a) It is the instantaneous rate of change.

b) It is the slope between any two points.

c) It is the tangent to the function.

####
Question 15
15.
Which of the following statements are true?

a) d/dx f(x) = f'(x)

b) f'(x) is the derivative of the function f(x) with respect to x.

c) d/dx f(x) describes the instantaneous rate of change of f(x).

### Page 4

#### Question 16 16. Compared to the graph of f(x) = 1/x, the graph of f(x) = 4/x is…

#### Question 17 17. Consider the function f(x) = 1/(x - 2). This is the function 1/x shifted…

#### Question 18 18. If you wanted to take the graph of y = 1/x and move it three units upward on the y-axis without changing its shape or anything else about it, what would be the equation of your new graph?

#### Question 19 19. Find the normal line of this curve at the point where x=1.

#### Question 20 20. How are the normal and tangent lines related?

### Page 5

#### Question 21 21. How do you find the tangent line of a curve?

####
Question 22
22.
Find the critical points of the given function:

*f*(*x*) = *x*^3 - 3*x*^2

*f*(

*x*) =

*x*^3 - 3

*x*^2

#### Question 23 23. Points on a graph in which the slope changes sign are known as:

#### Question 24 24. Each ____ value you find when working on critical points in calculus is known as a critical number.

#### Question 25 25. What is the difference between speed and velocity?

### Page 6

#### Question 26 26. Where is f(x) differentiable?

#### Question 27 27. Which of the following functions is increasing?

#### Question 28 28. If a function is monotonic, then which of the following statements is true about the function?

#### Question 29 29. What is the derivative of the following?

####
Question 30
30.
Compare the two functions:

A: f(x) = 3/x

B: f(x) = 5/x

These two functions are graphed in the picture. Which line represents which function?

#### Differentiability in Integral Calculus Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!