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Math Help - Critical x help

  1. #1
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    Critical x help

    How do I show that a cubic function can have a two, one, or no critical numbers? And what are examples of them?

    Also, how many local extreme values can a cubic function have?

    Any help appreciated -- thanks!
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  2. #2
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    Quote Originally Posted by amma0913 View Post
    How do I show that a cubic function can have a two, one, or no critical numbers? And what are examples of them?

    What is the derivative of a cubic polynomial? Aha...and now, what are the options for the roots of this derivative?
    There you go!


    Also, how many local extreme values can a cubic function have?

    Read above and think

    Tonio


    Any help appreciated -- thanks!
    .
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  3. #3
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    What is an example of a quadratic function with one critical x?

    Thanks
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  4. #4
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    Well, what is the definition of "critical point"?

    What do you know about the derivative of a quadratic function?

    (Or did you mean "cubic" function as in your first post? In that case what do you know about the derivative of a cubic function?)
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