Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Critical Points
Derivatives
Exponential Functions

Formulas

f'(x) = e^(g(x)) * g'(x) where g(x) = x^4/4 + 10px
g'(x) = x^3 + 10p
Critical point: f'(x) = 0

Theorems

Chain Rule

Suitable Grade Level

Grades 11-12