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Math Help - relative minimum

  1. #1
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    relative minimum

    question:
    Attached Thumbnails Attached Thumbnails relative minimum-integral12.jpg  
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    Quote Originally Posted by DINOCALC09 View Post
    question:
    there seems to be only one. at the base of the circular part of the curve. what x value is that?
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  3. #3
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    ok. thanks. that would be x=1

    one other question, is there a way to find the relative minimum analytically?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by DINOCALC09 View Post
    ok. thanks. that would be x=1

    one other question, is there a way to find the relative minimum analytically?
    yes. find the formula for the function. find it's derivative and set it equal to zero. this will give the critical points, where a minimum may occur.

    in this case, that option is not recommended. you will have to define it as a piece-wise function (here, it would have 4 pieces) and differentiate each piece and so on. too much work
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