How do you differentiate the following with respect to s:
http://i47.tinypic.com/30js935.jpg
Thanks
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How do you differentiate the following with respect to s:
http://i47.tinypic.com/30js935.jpg
Thanks
Let $\displaystyle y = e^{ \lambda ( \frac{ p}{1-qs} - 1 ) } $
$\displaystyle lny = \lambda ( \frac{ p}{1-qs} - 1 ) $
$\displaystyle lny = \lambda p (1-qs)^{-1} - \lambda $
Implicitly differentiate
$\displaystyle \frac{1}{y} y^{ \prime } = \lambda p (1-qs)^{-2} * q $
Resulting in
$\displaystyle y^{ \prime } = \lambda p q (1-qs)^{-2} ( e^{ \lambda ( \frac{ p}{1-qs} - 1 ) } ) $