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Thread: question using Weirestress theorem

  1. #1
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    israel
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    question using Weirestress theorem

    $\displaystyle f$ is a continous function at $\displaystyle R$ which gets a local maximum at point $\displaystyle x{}_{0}$. i need to prove - formal proof, not just words - that if $\displaystyle f$ doens't have any other extremas, $\displaystyle f$ gets maximum at $\displaystyle x{}_{0}$

    for clarification of how us in the course define extrema: "$\displaystyle f(x)$ is an extrema value if $\displaystyle f(x)$ is a local minimum or a local maximum of $\displaystyle f$. in this case we'd say that the point $\displaystyle (x,f(x)) $ on $\displaystyle f$'s graph is called an extrema of $\displaystyle f$"
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  2. #2
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    israel
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    Re: question using Weirestress theorem

    oh.. the clue is to use the second sentence of Weirestress..
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