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Math Help - Differentiation problem

  1. #1
    Junior Member
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    Differentiation problem

    Deriviate:

    arctan(1/x)

    I use the chain rule and get:

    (1/(1 + ((1/x)^2))) * ln(x)

    = ln(x) / (1 + (x^2))

    Is this solution correct? The book does not provide the answer, and I just want to make sure I understand the procedure.

    Thanks in advance!
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  2. #2
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    That ln(x) should be -1/x^2 ..
    You should differentiate 1/x not integrate it ..
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  3. #3
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    NEVER MIND! I just realized I used intergration on (1/x). (Stupid, stupid!)

    The answer should be:

    (1 / (1 + (x^2))) * (-1/(x^2))

    If I'm not mistaken
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  4. #4
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    Quote Originally Posted by krje1980 View Post
    NEVER MIND! I just realized I used intergration on (1/x). (Stupid, stupid!)

    The answer should be:

    (1 / (1 + (x^2))) * (-1/(x^2))

    If I'm not mistaken
    Wrong again ..
    The red one should be 1/x^2 .. =)
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  5. #5
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    Thanks, man. You're absolutely right!
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