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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?

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  1. anonymous
    • 5 years ago
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    I was thinking no, because it wouldn't be continuous then? Any second opinion?

  2. anonymous
    • 5 years ago
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    That would imply f(x) has an asymptote, hole, discontinuity, corner, cusp... so, what would you consider f(x) then?

  3. anonymous
    • 5 years ago
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    discontinuous?

  4. anonymous
    • 5 years ago
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    That is what I would think.

  5. anonymous
    • 5 years ago
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    it can ocur

  6. anonymous
    • 5 years ago
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    If it is a corner or cusp.

  7. anonymous
    • 5 years ago
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    yeah

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