Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Graphing Functions
Concavity
Second Derivative Test

Formulas

f(x) = e^(-x^2)
First derivative: f'(x)
Second derivative: f''(x)

Theorems

Second Derivative Test
Behavior of exponential functions

Suitable Grade Level

Undergraduate (Calculus I/II)