Extra Q is based on same graph

Page g"(x) for all x b. f" (x)

9) (5 points) Based on the figure below: Plot (i) on the left shows the graph of the quadratic function f (x) and plot (ii) on the right shows the graph of the quadratic function g(x). Which of the following best describes the situation? Provide a brief explanation of your answer. a. f "(x) > for all x b. f' '(x) for all x c. It depends on the value of x d. There isn't enough information to compare f "(x) and g"(x) Extra Credit (4 points) Fermat's Theorem: If f has a local maximum or minimum at c, and if f '(c) exists, then f'(c) = 0 What it doesn't say is that if f' (c) = 0, and ft (c) exists then f has a local maximum or minimum Give an example for which f' (c) 0, and f '(c) exists but where f does not have a local maximum or minimum at c and explain why your example satisfies these conditions. That's it, go back and reread the problems to be sure you are satisfied with your answers to all 9 problems. Have a great rest of your summer!