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Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83, UzentsovaNS@gmail.com, SidorovSP@info.sgu.ruInthispaperweproposethealgorithmforndingweightsoffeedforwardarticialneuralnetworkswithonehiddenlayertoapproximatepolynomial functions and its derivatives with a given error. We use the rational sigmoidal function as a transfer function.Key words: neural networks, approximation.

Simultaneous Approximation of Polynomial Functions and Its Derivatives by Feedforward Artificial Neural Networks with One Hidden Layer