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Estudo de Caso Acesso aberto Otimização de funções polinomiais utilizando conceitos de cálculo diferencial e algoritmos genéticos(2019) Rodrigues, Henrique; Machado, Nixon César SeveroIncreasingly, humans are looking for optimal solutions to their most diverse problems, seeking maximum profits and minimum costs. It is also growing, as entrance exams and competitions address optimization problems, stimulating the search for different resolution methods. This paper presents an area of artificial intelligence that has been growing a lot in the last years: the evolutionary algorithms. These algorithms mimic nature, which does not refer to the search for the optimal solution, based on Charles Darwin's natural selection. This study aims to compare solutions that can solve upper limit problems and use genetic algorithms and differential calculus. Genetic algorithms attempt to abstract and mimic the evolutionary mechanisms in problem solving that are applicable, search and optimization. To achieve the proposed objectives, two optimization problems applied in ENEM tests from previous years were solved. Use the genetic algorithm method to arrive at the approximate solution and the differential calculation to arrive at the exact solution. The methodology adopted for the work was an exploratory research through case studies. Constant, although genetic algorithm troubleshooting is in some cases approximate, it is ideal when derived from the complicated display functions.