Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Critical Points
Exponential Functions

Formulas

f'(x) = e^(x^4/4 + 10px) * (x^3 + 10p)
x^3 + 10p = 0
x = (-10p)^(1/3)

Theorems

Chain Rule

Suitable Grade Level

Undergraduate Calculus