Paul Guzman
10/27/2023 · Senior High School

1. Determina los intervalos sobre los cuales la gráfica es creciente o decreciente, los máximos y minimos, cóncava hacia arriba o hacia abajo y los puntos de inflexión. a. \( f(x)-x^{3}-6 x^{2}+12 x \) b. \( f(x)-2 x^{3}-3 x^{2}-12 x+5 \) c. \( f(x)-2 x^{4}-8 x+3 \) d. \( f(x)-x^{\prime}(x-4) \) e. \( f(x)=x(x-4)^{3} \)

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Para cada función, se calculan las derivadas y se analizan sus propiedades para determinar los intervalos de crecimiento/decrecimiento, concavidad y puntos de inflexión.

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