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OpenStudy (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?
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OpenStudy (anonymous):
I was thinking no, because it wouldn't be continuous then? Any second opinion?
OpenStudy (anonymous):
That would imply f(x) has an asymptote, hole, discontinuity, corner, cusp... so, what would you consider f(x) then?
OpenStudy (anonymous):
discontinuous?
OpenStudy (anonymous):
That is what I would think.
OpenStudy (anonymous):
it can ocur
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OpenStudy (anonymous):
If it is a corner or cusp.
OpenStudy (anonymous):
yeah
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