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# The Derivative as a Function 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 2 2. What is the approximate instantaneous rate of change at point C? #### Question 3 3. What is the average rate of change for the interval with endpoints A and B? #### Question 4 4. According to the mean value theorem, at how many points will the instantaneous rate of change equal the average rate of change between x = 1 and x = 3 on the following graph? #### Question 5 5. Consider the function f(x) given below. According to Rolle's theorem, for how many values of x is the instantaneous rate of change equal to 0? ### Page 2

#### Question 6 6. The derivative of the following graph is _____ at point A. #### Question 7 7. The derivative of the following graph is _____ at point D. #### Question 8 8. Consider the graph below. Between x=C and x=-C, for any value of C, will there be a point where the instantaneous rate of change is 0? ### Page 3

#### Question 11 11. Which point on the following graph satisfies the mean value theorem between x = 0 and x = 3? #### Question 13 13. The derivative of the following graph is _____ at point C. #### Question 14 14. Consider the function f(x) given below. According to Rolle's theorem, between x=0 and x=pi, for how many values of x is the instantaneous rate of change equal to 0? #### Question 15 15. Which could be the graph of the derivative of the function below? #### The Derivative as a Function 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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