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Math Help - function

  1. #1
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    function

    g(x)= |_x_|

    What do these brackets mean?
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  2. #2
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    Quote Originally Posted by summerset353 View Post
    g(x)= |_x_|

    What do these brackets mean?
    It's the largest integer less than or equal to x
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  3. #3
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    would the derivative of |_x_| be equal to 1? Or is it different because of the brackets?
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  4. #4
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    Quote Originally Posted by summerset353 View Post
    would the derivative of |_x_| be equal to 1? Or is it different because of the brackets?
    Well looking at x on the interval [0,1), g(x) = 0 for all x....
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  5. #5
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by summerset353 View Post
    would the derivative of |_x_| be equal to 1? Or is it different because of the brackets?
    Is the function even continuous? If you look at the function n,n+1)\mapsto\mathbb{R},\text{ }n\in\mathbb{N}" alt="fn,n+1)\mapsto\mathbb{R},\text{ }n\in\mathbb{N}" /> with f(x)=\left \lfloor x\right\rfloor then in fact f(x)=1. And so f'(x)=0.
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