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Math Help - How to get the critical numbers?

  1. #1
    Member
    Joined
    Jan 2009
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    197

    Exclamation How to get the critical numbers?

    Question:
     x(4-x^2)^\frac{1}{2}

    Attempt:
    y'= (x) * \frac{1}{2}(4-x^2)^\frac{-1}{2}*(-2x)+(4-x^2)^\frac{1}{2}*(1)


    After this step i dont know how to simplify?

    Please anwer in steps
    Thank you.
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  2. #2
    Member
    Joined
    May 2009
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    You can multiply the right side by [2(4-x^2)^(1/2)]/[2(4-x^2)^(1/2)]
    you should end up with [4-2x^2]/[(4-x^2)^(1/2)]
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