Math Problem Statement

Compute ,f’’(x) if ,f(x) = (2x+ 3)^2(x^3+ 3)

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Product Rule
Chain Rule
Second Derivative

Formulas

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

Theorems

Product Rule
Chain Rule

Suitable Grade Level

Grades 11-12 (Advanced High School Calculus) or Undergraduate Level