anonymous
  • anonymous
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?
Mathematics
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anonymous
  • anonymous
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?
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
I was thinking no, because it wouldn't be continuous then? Any second opinion?
anonymous
  • anonymous
That would imply f(x) has an asymptote, hole, discontinuity, corner, cusp... so, what would you consider f(x) then?
anonymous
  • anonymous
discontinuous?

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anonymous
  • anonymous
That is what I would think.
anonymous
  • anonymous
it can ocur
anonymous
  • anonymous
If it is a corner or cusp.
anonymous
  • anonymous
yeah
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