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Consider Theorem 4.2: Fermat's Theorem from the textbook Fs. Which of the following statements are true and which are false? I. If f (2) has a local maximum at 2 = c, then x = cis a critical point of f (x) j [Select ] v Il. If @ = is NOT a critical point of f (x) ,then f (x) does NOT have a local maximum or minimum at z = c. Ill. If = isacritical point of f (x) , then f (x) has a local maximum or minimum at 2 = c | [Select ] v IV. If f (2) does not have a local extremum (a min or max) at 2 = c, then x = is not a critical point of f (x) | [Select ] V. If f (2) has a local maximum at z =e, then f' (c) =0 .) [Select] v [ Select ]