Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Graph Analysis
Critical Points
Maxima and Minima
Increasing and Decreasing Intervals
Concavity
Inflection Points

Formulas

First Derivative Test
Second Derivative Test

Theorems

Fermat's Theorem for Critical Points
Test for Increasing/Decreasing Functions
Test for Concavity and Inflection Points

Suitable Grade Level

Grades 11-12 (Advanced High School) or College Level