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NES Math: Graphing Derivatives Chapter Exam

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!

Page 1

Question 1 1. What is the equation of the line normal to f(x) at the point x=1?

Question 2 2. Which could be the graph of the derivative of the function below?

Question 3 3. What is the equation of the line tangent to f(x) at the point x=0?

Question 4 4. The graph shown is an example of a function that:

Question 5 5. Where is the global maximum for the function f(x) = sin((pi)x) between x=0 and x=2?

Page 2

Question 6 6. The graph shown is an example of a function that:

Question 7 7. What is the slope of the tangent to r(s) at s = 0?

Question 8 8. What is the slope of the line normal to f(x) at x=1?

Question 9 9. What is the global minimum for the function y=f(x) below between x=0 and x=2?

Question 10 10. What is the slope of a line normal to f(x)?

Page 3

Question 11 11. Consider the function g(x) below. At x = 0 is this function concave up, concave down, or an inflection point?

Question 12 12. Which of the following BEST describes point B?

Question 13 13. What is value of y at the finite local maximum for the function y=f(x) below?

Question 14 14. The derivative of the following graph is _____ at point A.

Question 15 15. The derivative of the following graph is _____ at point D.

Page 4

Question 16 16. Over the region shown, the global minimum is at the point

Question 17 17. What is the value of x at the finite local minimum for the function f(x) = 2x^3 - 3x^2?

Question 18 18. Which of the following BEST describes point A?

Question 19 19. If a function's derivative is positive at point a, then what do we know about the function?

Question 20 20. Where is the global maximum for the function y=f(x) below between x=0 and x=2?

Page 5

Question 21 21. Which of the following is a local minimum?

Question 22 22. The graph shown is an example of a function that:

Question 23 23.

Consider the function r(s) below. At s = 1 is this function concave up, concave down, or an inflection point?

r(s) = cos2s / 4)

Question 24 24. The derivative of the following graph is _____ at point C.

Question 25 25. Between x=1 and x=3, the following function _____.

Page 6

Question 26 26. Which of the following BEST describes point C?

Question 27 27. Over the region shown, point A is known as _____.

Question 28 28. What is the global minimum for the function y=f(x) below between x=0 and x=2?

Question 29 29. Consider the function f(x) below. At x = 1 is this function concave up, concave down, or an inflection point?

Question 30 30. Where is the global minimum for the function f(x) = sin((pi)x) below between x=0 and x=2?

NES Math: Graphing Derivatives 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!

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