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  1. #1
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    differentiate

    how do u differentiate nlnnln(lnn)? i have the answer but I dont know how to do it. Please help explain how to differntiate 3 or more products.
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  2. #2
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    Quote Originally Posted by twilightstr View Post
    how do u differentiate nlnnln(lnn)? i have the answer but I dont know how to do it. Please help explain how to differntiate 3 or more products.
    Do you mean:

    n\cdot \ln(n) \cdot \ln(\ln(n))~,~n \in \mathbb R^+ ?

    If so split the product into two factors:

    \left(n\cdot \ln(n) \right) \cdot \left( \ln(\ln(n)) \right)~,~n \in \mathbb R^+

    Now use the product rule. To differentiate the factors use product rule (1rst factor) or chain rule(2nd factor) respectively.

    I've got

    \ln(\ln(n)) \cdot (\ln(n) + 1) + 1
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  3. #3
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    my work:
    [1(lnn) + 1/n (n)][ln(ln(n))] + (1/lnn(1/n))nlnn

    = (lnn + 1)[ln(lnn)] + 1

    i think this is right. Thanks
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