Math Problem Statement

hallar los siguientes problemas de la función dada: Los números críticos, intervalos de monotonía, los extremos locales, los números críticos de segundo orden, intervalos de concavidad, puntos de inflexión. y hazme una gráfica

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Polynomials
Derivatives
Monotonicity
Concavity
Extrema
Inflection Points

Formulas

First derivative: F'(x) = -4x^3 + 12x
Second derivative: F''(x) = -12x^2 + 12

Theorems

First derivative test
Second derivative test
Critical points theorem
Concavity and inflection points

Suitable Grade Level

Grades 11-12, College-level Calculus

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