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Thread: Derivative with natural logarithm

  1. November 5th 2009, 02:56 PM #1
    s3a
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    Derivative with natural logarithm

    Could somebody please help me find the derivative of the following function please?:

    y = ln(e^(-x) + xe^(-x))

    Any help would be greatly appreciated!
    Thanks in advance!
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  2. November 5th 2009, 03:01 PM #2
    skeeter
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    Quote Originally Posted by s3a View Post
    Could somebody please help me find the derivative of the following function please?:

    y = ln(e^(-x) + xe^(-x))

    Any help would be greatly appreciated!
    Thanks in advance!
    y = \ln[e^{-x}(1 + x)] = \ln(e^{-x}) + \ln(1+x) = -x + \ln(1+x)

    now take the derivative ...
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