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Math Help - How do you differentiate this with respect to s

  1. #1
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    How do you differentiate this with respect to s

    How do you differentiate the following with respect to s:



    Thanks
    Last edited by mr fantastic; July 3rd 2010 at 05:01 AM. Reason: Copied title into main body of post.
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  2. #2
    Senior Member AllanCuz's Avatar
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    Quote Originally Posted by adam_leeds View Post
    How do you differentiate the following with respect to s:



    Thanks
    Let  y = e^{ \lambda ( \frac{ p}{1-qs} - 1 ) }

     lny = \lambda ( \frac{ p}{1-qs} - 1 )

     lny = \lambda p (1-qs)^{-1} - \lambda

    Implicitly differentiate

     \frac{1}{y} y^{ \prime } = \lambda p (1-qs)^{-2} * q

    Resulting in

     y^{ \prime } = \lambda p q (1-qs)^{-2} ( e^{ \lambda ( \frac{ p}{1-qs} - 1 ) } )
    Last edited by mr fantastic; July 3rd 2010 at 05:02 AM.
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