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HELP Please 25 Points Calculus

HELP Please 25 Points Calculus-example-1
User Yoke
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(I) is not necessarily true. Consider the function f(x) = - |x| on the interval [-1, 1]. There's a maximum at x = 0, but f' (0) does not exist.

But both (II) and (III) are true, so the answer is A.

User Alan Thomas
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