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Question Number 28366 by abdo imad last updated on 24/Jan/18

let give P(x)= α(x−x_1 )^m_1  (x−x_2 )^m_2  .....(x−x_n )^m_n    give the decomposition of F(x)= ((d(P))/P) .d mean derivative

$${let}\:{give}\:{P}\left({x}\right)=\:\alpha\left({x}−{x}_{\mathrm{1}} \right)^{{m}_{\mathrm{1}} } \left({x}−{x}_{\mathrm{2}} \right)^{{m}_{\mathrm{2}} } .....\left({x}−{x}_{{n}} \right)^{{m}_{{n}} } \\ $$$${give}\:{the}\:{decomposition}\:{of}\:{F}\left({x}\right)=\:\frac{{d}\left({P}\right)}{{P}}\:.{d}\:{mean}\:{derivative} \\ $$

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