View Poll Results: How can we apply Leibnitz's Theorem?

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Thread: Successive Differentiation

  1. #1
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    Question Successive Differentiation

    Leibnitz's Theorem
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  2. #2
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    Re: Successive Differentiation

    The question is y=xlogx and we have to find nth derivative...
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  3. #3
    MHF Contributor

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    Re: Successive Differentiation

    You don't need a poll, or to worry about whether to use "Leibniz's theorem", just start differentiating!

    The derivative of x ln(x) is, using the chain rule, ln(x)+ x(1/x)= ln(x)+ 1.
    The second derivative is 1/x.
    The third derivative is -1/x^2.
    The fourth derivative is 2/x^3.
    The fifth derivative is -6/x^4.

    What is the general nth derivative?
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