Question: Suppose you know that a continuous function f(x) is increasing at x = 2, and decreasing at x = 4, and that x = 3

Suppose you know that a continuous function f(x) is increasing at x = 2, and decreasing at x = 4, and that x = 3 is a critical point. Which of the following could decrease f'(3)?

a. f'(3) = 2

b. f'(3) = 4

c. f'(3) does not exist.

d. all of the above

e. none of these

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