A curva dada implicitamente pela equação 3 + 3 − 9 = 0 é chamada de Folium de Descartes. A derivada fraction numerator d y over denominator d x end fraction (de em função de ) dessa curva é dada por: a. fraction numerator d y over denominator d x end fraction equals 3 y squared minus 9 x b. fraction numerator d y over denominator d x end fraction equals fraction numerator 3 y minus x squared over denominator y squared minus 3 x end fraction c. fraction numerator d y over denominator d x end fraction equals fraction numerator negative x squared over denominator y squared minus 3 end fraction d. fraction numerator d y over denominator d x end fraction equals 3 x squared minus 9 y e. fraction numerator d y over denominator d x end fraction equals fraction numerator x squared plus y squared over denominator 3 x end fraction
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Considere a função () = fraction numerator x space plus space 1 over denominator x space minus space 1 end fraction. Identifique o domínio () e a imagem () da função . a. D left parenthesis f right parenthesis equals straight real numbers text e end text Im invisible function application left parenthesis f right parenthesis equals straight real numbers b. D left parenthesis f right parenthesis equals straight real numbers minus left curly bracket 1 right curly bracket text e end text Im invisible function application left parenthesis f right parenthesis equals straight real numbers minus left curly bracket negative 1 right curly bracket c. D left parenthesis f right parenthesis equals straight real numbers minus left curly bracket negative 1 right curly bracket text e end text Im invisible function application left parenthesis f right parenthesis equals straight real numbers minus left curly bracket 1 right curly bracket d. D left parenthesis f right parenthesis equals straight real numbers minus left curly bracket negative 1 right curly bracket text e end text Im invisible function application left parenthesis f right parenthesis equals straight real numbers minus left curly bracket negative 1 right curly bracket e. D left parenthesis f right parenthesis equals straight real numbers minus left curly bracket 1 right curly bracket text e end text Im invisible function application left parenthesis f right parenthesis equals straight real numbers minus left curly bracket 1 right curly bracket
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