Thread: power mean derivative
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Old July 8th, 2009, 08:24 PM
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Exclamation power mean derivative
For given positive values a_{1},\ldots,a_{n}, I have the power mean: P(\alpha):=\left(\frac{1}{n}\sum_{k=1}^{n}a_{k}^{\alpha}\right)^{\frac{1}{\alpha}} for which I need to find \frac{d}{d\alpha}P(\alpha). Please Help!!!
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