Math Problem Statement

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Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Critical Points
Concavity
Behavior Analysis
Limits

Formulas

f'(x) = e^x(3x + 4) using product rule
f''(x) = e^x(3x + 7) using product rule

Theorems

Critical points of a function
Concavity and inflection points
Limit behavior as x approaches infinity

Suitable Grade Level

College Calculus