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anonymous
 5 years ago
Can a maximum value of a continuous function f(x) on [a,b] occur at a point c in [a,b] where f'(c) does not exist?
anonymous
 5 years ago
Can a maximum value of a continuous function f(x) on [a,b] occur at a point c in [a,b] where f'(c) does not exist?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I was thinking no, because it wouldn't be continuous then? Any second opinion?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That would imply f(x) has an asymptote, hole, discontinuity, corner, cusp... so, what would you consider f(x) then?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That is what I would think.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If it is a corner or cusp.
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