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. hacer una gráfica

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Critical Points
Monotonicity
Concavity
Inflection Points

Formulas

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

Theorems

First Derivative Test
Second Derivative Test

Suitable Grade Level

College Level - Calculus I

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