Math Problem Statement

second derivative of (2x^2 + 1) ^ 3

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Chain Rule
Product Rule
Higher-Order Derivatives

Formulas

Chain Rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)
Product Rule: d/dx[f(x) * g(x)] = f'(x) * g(x) + f(x) * g'(x)

Theorems

Chain Rule
Product Rule

Suitable Grade Level

Grades 11-12 or early college