Which is the correct conclusion, (a) or (b)? If is continuous but has no critical points

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Which is the correct conclusion, (a) or (b)?

If ƒ is continuous but has no critical points in [0, 1], then (a) ƒ has no min or max on [0, 1]. (b) Either ƒ(0) or ƒ(1) is the minimum value on [0, 1].

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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