Máximos e mínimos com proposta de aplicação para funções quadráticas

• Ano de defesa: 2015
• Autor(a) principal: Banhato, Matheus Pierry [UNESP]
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Estadual Paulista (Unesp)
• Palavras-chave em Português: Matemática (Ensino médio) - Estudo e ensino; Funções (Matemática) - Estudo e ensino; Matemática - Metodologia; Mathematics
• Link de acesso: http://hdl.handle.net/11449/138470; http://www.athena.biblioteca.unesp.br/exlibris/bd/cathedra/07-04-2016/000863094.pdf

This work aims to study the maximum and the minimum for functions of one and two real variables, as well as submit a proposal to study the extreme points of quadratic functions in high school. Therefore, we study the existence of maximum and minimum values of continuous functions, culminating with the proof of Weierstrass Theorem. Later on, we perform a detailed study for derivable functions, showing results known as the Derived Test and exemplifying such Examples of results through direct application and classical problems in optimization. Finally, we propose materials for studying the maximum and minimum of quadratic functions, aimed parabolas working with vertex and determining their content via various problem situations that tend to draw students' attention by not being totally abstract