Question: 3. (10 points) Let y = f(x) = 2x4 - 6x3 + 5x - l (a) Plot f(x). (b) What is the f '(x)? (e)

 3. (10 points) Let y = f(x) = 2x4 - 6x3
+ 5x - l (a) Plot f(x). (b) What is the f

3. (10 points) Let y = f(x) = 2x4 - 6x3 + 5x - l (a) Plot f(x). (b) What is the f '(x)? (e) Plot f '(x). (d) What are the critical numbers of f(x), i.e. what are x = e when f '(c) = 0? (e) For each critical number x = c, state whether it corresponds to a relative maximum, relative minimum, or is neither. (0 Do your answers match what you see on your graphs? (yes or no) 4. (10 points) Given the function f(x) shown in the graph. (1.155, 5.079) (1.155, 1.079) .2 | (a) What are the critical numbers it = e for x)? Use your answers to problem #1. (b) For each critical number, state whether it is a relative maximum, relative minimum, absolute maximum, absolute minimum, or neither

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