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Math Help - Relative extrema question. Did I do it right?

  1. #1
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    Relative extrema question. Did I do it right?

    Find the x-values of all points where the functions defined as follows have any relative extrema. Find the value(s) of any relative extrema.
    f(x)= x^2 - 10x + 33
    I did f'(x)= 2x-10
    10=2x
    x=5
    I did a number line and picked 1 and 6. I did 2(1)-10 = - and 2(6)-10= +
    f(5)= (5)^2 - 10(5) +33= 8.
    f(5)= relative min. of 8 at 5. (That's what the answer from the book)
    Dec: (-infinity, 5)
    Inc: (5, infinity)
    Did I do it right? Thanks
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  2. #2
    Member integral's Avatar
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    Looks right to me.
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