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Math Help - optimization

  1. #1
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    optimization

    Use the optimization method to find the point on the curve y =x^2-3 that is closest to the point (0,1).
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  2. #2
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    Quote Originally Posted by mzhang View Post
    Use the optimization method to find the point on the curve y =x^2-3 that is closest to the point (0,1).
    use the distance formula between the points (x, x^2-3) and (0,1) , then minimize.
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  3. #3
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    how do i minimize?
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  4. #4
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    how do I minimize?
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  5. #5
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    Quote Originally Posted by mzhang View Post
    how do I minimize?
    take the derivative of your distance function, set the derivative equal to zero, solve for critical values, then determine the critical value that yields a minimum using the first and/or second derivative test.
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