Written Assignment 8 Maxima/Minima and Mean Value Theorem 1. Find the location of the absolute extreme values of f (x) cos (x) on the interval 3'2 Draw the graph of the function to help determine the values. You do need to find them analytically. (Hint: We did something like this in the notes.) 2. Explain why or why not: Determine whether the following statements are true and give an explanation. If they are not true, then you need to give a counterexample (an example that shows the statement is false) or explain why the statement is false. a. The continuous function f(x) 1 x satisfies the conditions of the Mean Value Theorem on the interval [-1, 1]. b. The continuous function f(x) 1 x satisfies the conditions of the Mean Value Theorem on the interval [1, 3]. c. Two differentiable functions that have the same derivative vary by a constant. d. If f (x) 2x , then f(x) x . (Hint: Are there any other functions whose derivative is 2x?)